Mr. Santos wanted to know the height of the tree. He observed from a point A that the angle of elevation of the top of the tree is 36 degrees. He then moved backwards 50 ft away from the initial point A, the angle of elevation of the top of the tree was 22 degrees. Find the height of the tree.
Answers
Answer:
The height of the tree is approximately 45.51 ft.
Step-by-step explanation:
The given information are;
The angle of elevation of the top of tree is 36 degrees
The distance backwards Mr. Santos moved = 50 ft.
The new angle of elevation of the top of the tree = 22 degrees
Therefore, we have;
The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°
Therefore, we have, by sine rule;
50/(sin(14)) = X/(sin(22))
X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.
The height of the tree, T = X × sin(36°)
T = 77.42 ft. × sin(36°) ≈ 45.51 ft.
The height of the tree is approximately 45.51 ft
Related Questions
What it the solution to this equation?
2x+3=x-4
Answers
Answer:
x = -7
Step-by-step explanation:
Solve for x:
2 x + 3 = x - 4
Hint: | Move terms with x to the left-hand side.
Subtract x from both sides:
(2 x - x) + 3 = (x - x) - 4
Hint: | Combine like terms in 2 x - x.
2 x - x = x:
x + 3 = (x - x) - 4
Hint: | Look for the difference of two identical terms.
x - x = 0:
x + 3 = -4
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
x + (3 - 3) = -3 - 4
Hint: | Look for the difference of two identical terms.
3 - 3 = 0:
x = -3 - 4
Hint: | Evaluate -3 - 4.
-3 - 4 = -7:
Answer: x = -7
Tanya typed 160 words in 5 minutes on her essay for Spanish class
Answers
Answer:
she typed 32 words in 1 minute
Step-by-step explanation:
Name: Pres
How many 7/8 cup servings are in a pitcher that contains 8 1/4 cups of fruit punch?
Answers
Answer:
9 and 3/8 left over
Step-by-step explanation:
to calculate this you have to convert the cups to eighths so:
8 cups*8= 64/8
1/4*2= 2/8
64/8+ 2/8= 66/8
66 divided by 7= 9 and 3/8
What is the slope of the line in the graph?
y
01
4.
3
2.
1
-5 -4 -3 -1
1 2 3 4 5 X
T Ym T
-5
Answers
Answer:
2
Step-by-step explanation:
Slope is Y/x. In this case, you could do 4 /2 which would give you a slope of 2/1=2.
Answer:
1
Step-by-step explanation:
rise 1 over run 1 1/1=1
what is the ratio of softballs to the total number of balls if there are 3 softballs and 184 is the total?
Answers
hope this helped!
Step-by-step explanation:
Question:-what is the ratio of softballs to the total number of balls if there are 3 softballs and 184 is the total?
Answer:-Ratio will be according to given units.
So, Softball : Total Balls
3: 184
Since it cannot be simplified further this is the answer.
Hope it helps ☃️
What evidence is there that a chemical reaction is taking place in the cold pack?
A)
change in odor
B)
change in color
0)
formation of gas
D)
temperature change
Answers
Evaluate f(x) = X(With an exponent of 2) -3x +2, given f(x + 1).
Answers
Answer:
f(x + 1) = x² - x
Step-by-step explanation:
f(x) = x² - 3x + 2 when f(x + 1)
f(x + 1) = (x + 1)² - 3(x + 1) + 2
f(x + 1) = (x² + 2x + 1) + (-3x - 3) + 2
f(x + 1) = x² - x + 0
f(x + 1) = x² - x
Best of Luck!
J/k - 0.2k when j = 25 and k = 5
Answers
Answer:
4.8
Step-by-step explanation:
J/k - 0.2k when j = 25 and k = 5?
25/5 - 0.2 = ?
5 - 0.2 = 4.8
why we start from the division because in the mathematic rule say's
1. start the inner of the bracket
2. arrange the numbers and the variable
3. the exponents
4. multiplication and division
5. subtraction and addition
and if they ask for the variable we should start from the subtraction and addition
Rearrange the equation A=4xy to solve for X
Answers
Answer:
x = A / ( 4y)
Step-by-step explanation:
A = 4xy
Divide each side by 4y
A/ ( 4y) = 4xy/4y
A / ( 4y) = x
If f(x) = - 2x + 3 then f(3) - f(4) =
Answers
Answer:2
Step-by-step explanation:
I have the problem on my my review and it says 2
Substituting the given values of X into the function, the value of f(3) - f(4) is 2
Given the function :
f(x) = - 2x + 3f(3) = - 2(3) + 3
f(3) = - 6 + 3 = - 3
For X = 4 :
f(4) = - 2(4) + 3
f(4) = - 8 + 3 = - 5
f(3) - f(4) = - 3 - (-5)
f(3) - f(4) = - 3 + 5 = 2
Therefore, the value of f(3) - f(4) is 2
Learn more : https://brainly.com/question/18106342
Please help me with my homework
Answers
Answer:
49/30
Or
1 19/30
Step-by-step explanation:
can ya smart people solove ths
Answers
Answer:
[See Below]
Step-by-step explanation:
____________________
✦ Solve:
Divide: [tex]6[/tex] ÷ [tex]2=3[/tex]Add: [tex]1+2=3[/tex]Multiply: [tex]3*3=9[/tex]____________________
So your answer would be:
[tex]\bold9[/tex]____________________
~Hope this helps Mate. If you need anything feel free to message me.
[tex]-Your~ Friendly~ Answerer,~Shane[/tex] ☺
James rides the train from Center City to Lakeside. The train ride
lasts for 18 minutes. The train arrives at the Lakeside station at
9:12 A.M. What time did the train ride start?
Answers
Answer: 8:54
Step-by-step explanation:
Answer:
8:54 A.M.
Step-by-step explanation:
When you subtract 12 minutes from 9:12 A.M., you get 9 am. Then you still have to subtract 6 more minutes from 9:00 A.M. and you get 8:54 A.M.
Which equation shows a proportional relationship? *
y= -2x +5
y= 3+ 5x
y= -3x
Answers
Answer:
y= -3x
Step-by-step explanation:
The graph of a line with a proportional relationship would have the line go through the origin.
Since the 'y=-3x' equation only shows the slope of the line, it goes through (0,0), or the origin, as it's y-intercept.
y= -3x should be the correct answer.
Hope this helps.
-6 ÷ -2 pls provide an explanation
Answers
Answer:
it would be 3 because a negative divided by negative is a positive
and 6/2=3
solve x -5y = 6 for x
Answers
Answer:
x=5y+6
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST (MAKE SURE TO ADD THE STEPS PLEASE)
-1^2 - 2(8) + 7(4)
Answers
Answer:
=11
Step-by-step explanation:
= -1 - 2(8)+7(4)
=-1-16+7(4)
= -1-16+28
=11
Step-by-step explanation:
-1^2-16+28
-1^2+12
-1+12=11
fire^#^#&÷^4&4<×^#^÷
Answers
Answer:
Can you construct the question better.Maybe then I would be able to answer it.
Maxine bought 3 bags of oranges and a bag of apples. The bag of apples cost $4. Brody bought 2 bags of oranges and a cake. The cake cost $9. Maxine and Brody spend the same amount of money on their shopping trips. Which equation represents the cost of each bag of oranges (c)?
Answers
Answer:$4.30, if your rounding but if not $4.33
Step-by-step explanation:
Choose the student who wrote the correct inequality.
Vrinda made over 90% of her free throws during the basketball game.
Isidro's work. F = 90.
Kimani's work. V less-than 90.
Tori's work. P greater-than 90.
Answers
Answer:
Tori
Step-by-step explanation:
if youre making over 90 percent of your free throws, then any number (P) greater than 90 is the answer
What is the probability of flipping at least 2 heads? As a Fraction
Answers
Answer:
81/100
Step-by-step explanation:
flipping a coin one, two, three or four times. 0.81 is the probability of getting 2 Heads in 5 tosses.
f(n) = -5n +4 ; find f(3)
what is the term given in this position?
Answers
For a business meeting, Jenna is making copies of her presentation. The more people
who plan to attend, the more copies Jenna will have to make.
Which of the variables is independent and which is dependent?
Independent (Select]
<
Dependent [Select ]
Answers
Answer:
Independent: The people who attend.
Dependent: The copies she has to make.
Step-by-step explanation:
She will make a certain amount of copies depending of how many people attend.
geometry, i have other questions ill post in a minute but i need the answers aaa
Answers
Answer:
Angle 6 = 91 degrees
Step-by-step explanation:
There are several ways you could use to find angle 6.
You could either find angle 5 then 6, 2, then 6, or 4 then 6 as they can all be found using the given angle with different rules.
First, we can find angle 5 using the corresponding angles rule which states that angles in the same corresponding quadrant are equal. That is angles that are in the same corresponding 'section' in their groups of angles at both intersect points. E.g. Angle 5 and 89 are corresponding angles, therefore angle 5 is equal to 89.
From here we can find angle 6 by using the rule that states that angles on a straight line add to 180. Angle 6 and angle 5 make up a straight line together which we know is 180 degrees. Therefore 180 - angle 5 = angle 6
180 - 89 = 91
Angle 6 is 91 degrees.
We also could have done this by first finding angle 2, which in on a straight line with the given angle. Therefore 180 - 189 = angle 2
Angle 2 = 91
Then used the corresponding angle rule to find angle 6. Angle 2 = Angle 6
Angle 6 = 91.
The final way we could have found it is by finding angle 4 first. The opposite angles rule states that opposite angles sharing a vertex are equal. This means that 89 and Angle 4 are equal. From there we can use the co-interior rule which states that angles in the same 'section' between parallel lines are co-interior (Angle 4 and angle 6) and are equal.
Therefore angle 4 = angle 6
Angle 6 = 91
Sorry if this answer was a bit confusing, hope it helps!
If a polygon has exactly 4 sides, it is a quadrilateral. State the contrapositive of the conditional statement. A) If a polygon is a quadrilateral, it has exactly 4 sides. B) If a polygon is a quadrilateral, it does not have exactly 4 sides. C) If a polygon is not a quadrilateral, it does not have exactly 4 sides. D) If a polygon does not have exactly 4 sides, it is not a quadrilateral.
Answers
Answer: I think the answer is D
Step-by-step explanation:
Option - C is the correct option.
We have a statement - If a polygon has exactly 4 sides, it is a quadrilateral.
We have to write the contrapositive of this conditional statement.
What do you mean by Contrapositive of the Conditional statement ?A combination of the converse and the inverse is called Contrapositive of the Conditional statement. Contrapositive will replace if with then and vice - versa and after that both parts are negated.
According to the question, we have a statement -
If a polygon has exactly 4 sides, it is a quadrilateral.
Firstly, replace ' if ' with ' they ' and vice - versa. We get -
If a polygon is a quadrilateral, than it does have exactly four sides.
Now, negate it -
If a polygon is not a quadrilateral, it does not have exactly 4 sides.
Hence, Option C is correct.
To solve more questions on contrapositive of the conditional statement, visit the link below -
https://brainly.com/question/17870378
#SPJ6
Prove angle FGH is congruent to angle HIF.
A.
1) Given
2) Given
3) Reflexive property of congruency
4) SAS
B.
1) Given
2) Reflexive property of congruency
3) Given
4) AAS
C.
1) Given
2) Reflexive property of congruency
3) Given
4) SSA
D.
There is not enough information to prove the triangles congruent.
Answers
Answer: someone please answer :(((
Step-by-step explanation:
Duke is a part-time student at Horizon Community College. He currently has 22 credits, and he plans to take 6 credits per semester until he is finished.
Duke's friend Kila is also a student at the college. She has 4 credits and plans to take 12 credits per semester. After how many semesters will Duke and
Kila have the same number of credits?
Answers
Answer:
3
Step-by-step explanation:
22=6c=4+12c
-6c -6c
22=4+6c
-4 -4
18=6c
/6 /6
3=c
Last August, the Martin family paid 75 for home owners association fee in February,they paid 54 what is the percent of decrease
Answers
Answer:
21% decrease
Step-by-step explanation:
just took 75 _ 54 and came up with 21 and juat added the % to it
PLEASE ANSWER IMMEDIATELY, I'LL GIVE BRAINLIEST AND POINTS!!
Answers
Answer:
8000
Step-by-step explanation:
8000
10^6-2*7.2/9
72000/9 = 8000
....Help please I need help I-
Answers
10^-5 = 1/100,000
10^20 = 100,000,000,000,000,000,000
10^-12 = 1/1,000,000,000,000
10^0 = 1
10^3 = 1,000
10^-85 = a very tiny number (basically 0)
Answer: 10^-85, 10^-12, 10^-5, 10^0, 10^3, 10^20
You can also see that it goes in order so the higher the power, the larger the number.
