Matt is trying to measure the height of a tree using
trigonometry. He is having trouble because of the
terrain around the tree. The horizontal distance
from the tree to Matt's eyes is 120 feet. The angle
of depression from the horizontal is 30°. Matt's
angle of sight to the top of the tree is 23°. What is
the height of the tree? (Round to the nearest foot.)
Answers
The height of the tree will be 18.35 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Matt is trying to measure the height of a tree using trigonometry.
He is having trouble because of the terrain around the tree.
The horizontal distance from the tree to Matt's eyes is 120 feet.
The angle of depression from the horizontal is 30°.
Matt's angle of sight to the top of the tree is 23°.
The diagram is given below.
Let x be the height of tree and AM be h.
The value of (h + x) will be
tan 30° = (x + h) / 120
x + h = 69.288
Then the value of h will be
tan 23° = h / 120
h = 50.94 feet
Then the height of the tree will be
⇒ h + x – h
⇒ 69.29 - 50.94.
⇒ 18.35 feet
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Related Questions
Which of the following statements are true about the graph of f(x) = 6(x + 1)²-9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)² up 9 units.
The graph is narrower than the graph of f(x) = x².
The graph is the same as the graph of f(x) = 6x² + 12x-3.
RETRY
Answers
The angle of depression from the hot-air
balloon to the car is 32°
How high is the hot-air balloon flying?
Give your answer to 2 s.f.
6600 feet
Not drawn accurately
Answers
Answer:
3497.47 feet
I think it's the answer because when you look where I've drawn...that's where the angle of depression is and 6600 is the hypotenuse, so you use the sine method where you have opposite over hypotenuse
[tex] \sin(32 = opposite \6600) [/tex]
and you'll get your answer as 3497.47
(18 ÷ 2) × (56 ÷ 7) =
Answers
do what’s in the parentheses first and then just multiply
Answer: 72
Step-by-step explanation:
Step 1: Divide 18 and 2, which is 9
Step 2: Divide 56 and 7, which is 8
Step 3: Multiply 9x8 and get 72
Pls help will give brainliest!
Answers
i used the coordinates (-1,0) and (3,4) to find the slope 4/4 or 1.
plugged in M and B using the coordinates and got
4=1•3+b
4=3+b
-3 -3
1=b
y=1x+1
hope this makes sense!!
State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.
[tex]5^x = 5^9[/tex]
Answers
Answer:
x=9
if
a^b = a^c
then b=c
so in this case x=9
Colin walked a distance of 15m in 6 hours. Work out Collin's average speed. Give your answer in miles per hour
Answers
2.5 miles/hour
Simply 15/6
Answer:
Colin walks an average speed of 2.5 miles per hour.
Step-by-step explanation:
15/6= 5 miles/2 hours
2.5
Two number cubes are rolled for two separate events:
Event A is the event
that the sum of numbers on
both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Complete the conditional-probability formula for
event B given that event A occurs first by writing A and B in the blanks:
Answers
Answer:
Good idea for thanks......
Helppppp!!!!!! Find m<1
Answers
Answer:
87 = <1
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
124 = 37 + <1
Subtract 37 from each side
124 -37 = <1
87 = <1
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F Question 8(Multiple Choice Worth 1 points) (04.06 MC) In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. One line g of x is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line f of x is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line. The graph represents which system of inequalities? y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3 Question 9(Multiple Choice Worth 1 points) (04.06 LC) Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and i
Answers
The graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3
How to depict the graph?The equation of the line will be:
y = mx + b
In this case, we can observe that both lines have the same y intercept and that the lines are solid.
Hence, graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3. The graph is attached.
When the coordinate grid shows points A through, the point that is a solution to the system of inequalities is negative 6 point G at negative 3, negative 10 point H at negative 4.
Finally, the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 is the graph of two intersecting lines where both lines are solid.
One line of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
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The graphs below have the same shape. What is the equation of the blue
graph?
Answers
Answer:
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1 . Below is the explanation
Step-by-step explanation:
Given:
The graph of f(x)=x^{2}x
2
To find:
The equation of the transformed graph g(x).
The red graph f(x) is moved right 3 units and up 1 unit to get g(x).
When graph is moved right 3 units , 3 should be subtracted with x.
When graph is moved up 1 unit, 1 is added at the end.
So, our g(x)=(x-3)^{2} +1(x−3)
2
+1
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1
If x•x = 10, what is the value of X?
Answers
Answer:
x = 3.16
Step-by-step explanation:
x * x = 10
[tex]x^2 = 10[/tex]
square root both sides
[tex]\sqrt{x^2} = \sqrt{10}[/tex]
[tex]x = \sqrt{10}[/tex]
x is appr. 3.16
Answer:
x= √-10, √ 10
Step-by-step explanation:
x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is
Answers
The Standard form of the equation of circle is (x+21)² + (y+19)² = 849
What is Standard form of circle?To transform general form to a standard form, you can use completing the square method or you can convert this equation
x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Here, Given: x² + y² + 42x + 38y − 47 = 0
Required: Find the values of h, k, and r using this formula
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
On comparing we get,
-2h = 42
h = 21
-2k = 38
k = 19
-47 = h² + k² - r²
-47 = 21² + 19² - r²
r² = 849
r = √849
Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849
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If g:
x = 2x-3 4 find 9^-1 (-3)
Answers
The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.
What is inverse of a function?Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
g(x) = (2x – 3) / 4
Then the inverse function of g(x) will be
g⁻¹(x) = (4x + 3) / 2
Then the value of the inverse function, at x = -3, will be
g⁻¹(-3) = [4(-3) + 3] / 2
g⁻¹(-3) = -4.5
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which expressions are equivalent ??
Answers
Answer:
[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]
Step-by-step explanation:
Use:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
[tex]5^4\cdot5^x=5^{4+x}[/tex]
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g if g(x) = f(x) − 11?
Answers
Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).
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These points are linear.
Find the slope.
x036912
y12345
[?]
slope =?/?
Answers
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6,3) and (x₂, y₂ ) = (9,4) ← 2 ordered pairs from the table
m = [tex]\frac{4-3}{9-6}[/tex] = [tex]\frac{1}{3}[/tex]
$80 gift marked up 60%
give me the answer after the markup
Answers
Answer:
128
Step-by-step explanation:
0.6 (the percentage) x 80.00= 48.00
48.00 + 80.00 = 128.00
Answer:
128
Step-by-step explanation:
60% + 100% (new price) = 160% = 1.6
80 x 1.6 = 128
Subtract (0.95x minus -0.04) minus (0.99x minus 0.13).
Answers
Find the value of x. Then find the measure of each labeled angle.
Answers
Answer:
X=20; the labeled angles are 80 and 100
Step-by-step explanation:
These angles are "consecutive interior angles" so they will add up to be 180.
180 = 5x + 4x
180 = 9x
180/9 = 9/x
20=x
Solve the following...
6x - 5 = -9x -9
Answers
Answer:
6x - 5 = (-9x) - 9
6x + 9x = (-9) + 5
15x = (-4)
x = (-4/15)
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = -\cfrac{4}{15} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 6x - 5 = - 9x - 9[/tex]
[ add 9x and 5 on both sides ]
[tex]\qquad \tt \rightarrow \: 6x - 5 + 9x + 5 = - 9x - 9 + 9x + 5[/tex]
[tex]\qquad \tt \rightarrow \: 6x + 9x = - 9 + 5[/tex]
[tex]\qquad \tt \rightarrow \: 15x = - 4[/tex]
[tex]\qquad \tt \rightarrow \: x = - \cfrac{4}{15} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and F C intersects A D at H. image If m ∠ B = 126 ° and m ∠ A H C = 142 ° , determine and state m ∠ G F H .
Answers
A quadrilateral in which opposite sides are parallel is called a parallelogram. The measure of the ∠GFH is 16°.
What is a parallelogram?A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram and a rhombus opposite sides are parallel, therefore, the sides that are parallel are,
AB║DC║ED║FG
Since the sides are parallel,
∠ABC = ∠FGH = 126°
Also, ∠AHC and ∠GHF lie on the same line, therefore,
∠AHC + ∠GHF = 180°
∠GHF = 180° - 142° = 38°
Now, in ΔGHF
∠GHF + ∠HFG + ∠GFH = 180°
∠GFH = 180° - 126° - 38°
∠GFH = 16°
Hence, the measure of the ∠GFH is 16°.
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please tell me the answer...
due today
Answers
Answer:
I think
each division is subtracted like
8 - 4 = 4
so that why it's written as
1/4 ...........
1/8 1/8 ..........
Step-by-step explanation:
if understand I need brainlist
if not then also
thanks
20. a) After allowing 20% discount on the Marked Price and levying 15% VAT, an article was sold. If the discount amount is Rs.800, find the selling price of the article including VAT.
Answers
The selling price of the article including VAT will be 1000.
What is the selling price?The cost at which an article is sold is known as the selling price.
Let the market price will be x
Given data;
Discount=20 %
The amount of the discount is;
[tex]\rm Discount = x- x \times \frac{20}{100} =\frac{80x}{100}[/tex]
Applied tax is;
[tex]\rm \frac{80x}{100} +\frac{80x}{100} \times \frac{15}{100} =904 \\\\ \frac{8000x+1040 x}{10000} =904 \\\\ 9040 x = 904 \times 10000 \\\\\ x=\frac{904 \times 10000}{9040} \\\\ x=1000[/tex]
Hence, the selling price of the article including VAT will be 1000.
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Hellpppp Neeededd, How To Solve…
Quadratic Formula Equation To
x² +9x+8=0
Answers
Answer:
-8 or -1
Step-by-step explanation:
x*2+9x+8=0
(x+8)(x+1)=0
x+8=0 or x+1=0
x= -8 or x= -1
What are the solutions to the quadratic equation below in factored form?
(2x - 1)(3x + 4) = 0
Ox= 1/12, X
Ox=
1
21
X =
34
0x = -1/², x=-1
Ox= = 1/², x = -1/3
2
Answers
Answer:
x = [tex]\frac{1}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
(2x - 1)(3x + 4) = 0
equate each factor to zero and solve for x
2x - 1 = 0 ( add 1 to both sides )
2x = 1 ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex]
and
3x + 4 = 0 ( subtract 4 from both sides )
3x = - 4 ( divide both sides by 3 )
x = - [tex]\frac{4}{3}[/tex]
So
2x-13=02x=13x=13/2And
3x+4=03x=-4x=-4/3what is the measure of
Answers
Answer:
C. Ф = 4 radians
Step-by-step explanation:
Given,
Radius of the Circle (r) = 3cm
Length of the Arc (S) = 12cm
In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.
Therefore, S = r*Ф
12 = 3*Ф
Hence, Ф = 4 radians
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Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3 and earns a total of 55$. If the bracelets are represented by x and the necklaces are represented by y which of the following systems of equations can be used to calculate the number of bracelets ms necklaces sold?
Answers
Answer: x+y=23, 3x+2y = 55 x + y = 55, 3x + 2y = 55 x+y=23, 2x+3y= 55 x+y=55, 2x+3y =23
Step-by-step explanation: The question said the sum is x+y so if the sum is 55, x+y=55
Shape a is enlarged to give shape b a) what is the scale factor of the enlargement? b) mark with a cross the centre of enlargement
Answers
The scale factor of the enlargement will be 3. Then the center of enlargement is marked in the diagram.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Shape A is enlarged to give shape B.
Then the scale factor of the enlargement will be
⇒ 3 / 1
Then the center of enlargement is marked in the diagram.
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i need these missing blanks please..
Answers
42, 42x and -35x^2
PLEASE HELP (not good at math)
Answers
Answer:
-7,-6,-5 are the values when x=0,1,2
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
y =x - 7
Substitute x = 0 and find the y-value
y = 0 - 7
y = -7
(0,-7)
Substitute x = 1,
y = 1 - 7
y = - 6
(1,-6)
Substitute x = 2,
y = 2 - 7
y = -5
(2,-5)
