A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to nearest while degree

Answers

Answer 1

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°


Related Questions

Please help me. Giving all these points for correct answer.

Answers

Answer:

7.722 cm^2.

Step-by-step explanation:

The area required is 1/4 of the difference of the area of the square and the circle.

The radius of the circle = 1/2 * 12 = 6 cm.

The area required = 1/4 * (12^2 - 3.142 * 6^2)

=7.722 cm^2.

Answer:

7.72500

Step-by-step explanation:

Here are the steps for and problem like this one.

Write an inequality to represent the situation.Remove Parenthesesmultiply the numbers (in this case it would be 2×3=6)Subtract the numbers (in this situation it would be -54 - 6 = - 60)


A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.

Answers

Answer:

1. D

2. A

Step-by-step explanation:

Brainliest please?

I need help with this

Answers

X1,Y1 =(-1,6)
X2,Y1=(2,-3)

Using the ruler postulate, find the distance between –9 and 2.

Answers

Answer:

11 units

Step-by-step explanation:

According to ruler postulate, if there are two points A with coordinate a

and point B with coordinate b, \

then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.

mathematically it can be represented as

AB = |a-b| or |b-a|

_________________________________________

in the given problem points are -9 and 2

thus distance

distance between –9 and 2  = |-9 -2| = |-11|  = 11

absolute value of -11 is 11

alternatively, distance can be calculated as

distance between –9 and 2  = |2 -(-9) | = |2 + 9 | = |-11|  = 11

QI - The sum of the distance of a moving
point from the points (c,0) and (-c,0) is
always 2a units. Find the equation to the locus
of the moving point.​

Answers

Answer:

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Step-by-step explanation:

Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:

PA + PB = 2a

PA = 2a - PB

PA² = 4a² + PB² – 4a ∙ PB

PA² – PB² = 4a² – 4a ∙ PB

[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB

-4hc = 4a² – 4a∙PB

a ∙ PB = a² + hc

Taking square

a² ∙ PB² = (a² + hc)²

a² [(h + c)² + (k - 0)²] = (a² + hc)²

a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²

a²h² – h²c² + a²k² = a⁴ – a²c²

(a² – c²)h² + a²k² = a² (a² – c²)

h²/a² + k²/(a² – c²) = 1

Therefore, the required equation to the locus of P is

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Can I get some help ASAP

Answers

Answer:

The top of the ladder touches the tree 14 ft above the ground.

Step-by-step explanation:

The Pythagorean Theorem incorporates the ladder length (17.5 ft), the distance of the base of the ladder from the base of the tree (10.5 ft), and the point where the ladder touches the tree (x ft):

x^2 + 10.5^2 = 17.5^2, or

x^2 + 110.25 = 306.25.  Then x^2 = 196, and x = +14  (Answer C)

The top of the ladder touches the tree 14 ft above the ground.

Solve the equation using the Quadratic Formula: *

x2 – 3x + 3 = 5x + 1

Answers

Answer:

please mark brainly

Step-by-step explanation:

Answer:

Exact form : x = 4 ± √14

Decimal form : x 7.74165738..., 0.25834261...

                     

Step-by-step explanation:

I hope this helps you out. ☺

Please answer the question stated below:

Answers

Y+57=267
Y=267-57
Y=210

PLZ HELP ASAP!!! Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $15.00 of the total money is Peter's, how much do all five brothers have combined?
A: $3.75
B: $75
C: $60
D: 45

Answers

Answer:

c

Step-by-step explanation:

25% = 15$ so 15+15+15+15=60

I’m stuck between two answers and wanted to know what you guys think is right?

Answers

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is y = mx + b

When we count rise over run, we get 1/1, or just 1. Also, the line is rising from left to right, so it is a positive slope.

y = x + b (you don't have to put 1x)

The line intersects the y-axis at 3

y = x + 3

I hope this helps :))

Answer:

y= -x+3

Step-by-step explanation:

looking at the graph, you can see that the equation is a negative, so the slope will be negative. On the Y-axis, the line goes through "3" making the y-intercept. The equation would be y=-3x+3, but you answer only give you y= -x+3

Which equation matches these solutions? x = 5, -7
Group of answer choices

(x + 5)(x + 7)=0

(x + 5)(x - 7)=0

(x - 5)(x + 7)=0

(x - 5)(x - 7)=0

Answers

(x-5)(x+7).
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
Answer

The answer is the first one

Given a segment with endpoint coordinates (0,4) and (-4,-3) find the
coordinates of the midpoint.
Enter the x-coordinate value here
Enter the y-coordinate value here​

Answers

Answer:

(-2 , 1/2)

Step-by-step explanation:

x = -2

y = 1/2 or 0.5

Reduce -6+b^6 by 2+b^4

A. -8+b^10
B. -4+b^10
C. -4+b^2
D. -8+b^6-b^4

Answers

Answer:

D

Step-by-step explanation:

-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴  {Now add the like terms}

                          =  -6 - 2 + b⁶ - b⁴

                          = -8 + b⁶ - b⁴

Answer is A

Hope it helps

In a school there are 300 students 90 of them are male students. Find out the percentage of female students.​

Answers

Answer:

70%

Step-by-step explanation:

Total students = 300

Male students = 90

Female students = 300 - 90 = 210

Percentage of female students

[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]

Answer:

70%

Key Points:

Total Students: 300Male Students: 90

Unknowns:

Male Student PercentageFemale Student CountFemale Student Percentage

We are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.

300 overall students - 90 male students = ____ female students

Simplify.

Given our above equation, we now know that there are 210 female students at the school.

In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.

[tex]\frac{210}{300} = ?[/tex]

Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7

Now, you need to multiply it by 100 so that you can create a percentage.

0.7 × 100 = 70%

Therefore, 70% of the students are female.

Checking our work:

A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.

If 70% is the correct percentage for female students, the male and female percentages should add up to 100%

Finding the male percentage:

Similar to how we found the percentage of females at the school, we must  divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.

[tex]\frac{90}{300} = ?[/tex]

Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3

Next, multiply your answer by 100 to get our percentage.

0.3 × 100 = 30%

Knowns:

Female Percentage: 70%Male Percentage: 30%

Add the female percentage with the male percentage: 70% + 30% = 100%

As predicted, our answer was 100%. Therefore, 70% of the students are female.

Learn more about solving for percentages by reviewing these answers!

⊕ https://brainly.com/question/26352729

⊕ https://brainly.com/question/25827141

⊕ https://brainly.com/question/28144590

Please help me !!!!!!!!!!!!!!!!

Answers

1) Mean: 6082560000

2) A reference book of maps is called an atlas.

The number 100 is decreased to 36. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

50%

Step-by-step explanation:

I think the answer is 64% but I’m not sure

For this graph, Mark the statements that are true.

Answers

A is the correct answer

Please help me with the question below

Answers

Answer: B) y=4n+8

Step-by-step explanation:

in these type of questions, I use the strategy of trial and error, lets look at the first choice, y=4n+12, if we look at the first term, and substitute the numbers on the equation, we would get y=4(1)+12, which is y=16 which tells us that there are 16 shaded squares in the first term which is not true, then we move on to the next answer. Using this strategy, there is only one answer that makes sense which is B) y=4n+8, Just to make sure if we look at the first term, and use the formula, we get y=4(1)+8, which gives us y=12 which is true.

Hope it helped

Can you guys help and put these in order?

Answers

-3, -2.5, -3/4, 1/4, 3.1, 16/5, 6. I can’t see the other numbers, so it’s just these

The function f(x) is shown in this graph please help because I can’t understand this concept

Answers

Answer:

d) the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.

-2/+1 = -2. this means the slope of f(x) = -2.

finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)

Find the surface area.

Answers

Answer:

A≈896.81

Step-by-step explanation:

This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.

P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!

896.81 is the answer

Where to Dig: The dinosaur's
tail bones are at the solution
point to the system of
equations below.
- 2x - 7y = -250
y = 140
Every time you click a point
using the CPS, the equations
below will update. Remember,
the solution is the point that
makes both equations true.
-2( x ) - 7(y) =250 X
4( x) - (y) =140 X

Answers

Answer:

x = 41

y = 24

Step-by-step explanation:

Systems of equations is,

-2x - 7y = -250 ------(1)

4x - y = 140 ------(2)

Equation (1) multiplied by 2 then added to equation (2)

  -4x -14y = -500

(+)   4x - y = 140  

          -15y = -360

             y = [tex]\frac{360}{15}[/tex]

            y = 24

by putting y = 24 in equation (2),

4x - 24 = 140

4x = 140 + 24

x = [tex]\frac{164}{4}[/tex]

x = 41

For x = 41 and y = 24 both the equations are true.

Equation (1),   -2(41) - 7(24) = -250  [True]

Equation (2),   4(41) - (24) = 140  [True]

Answer:it’s 41 and 24

Step-by-step explanation:

The opposite of the original statement. These statements are also called the inverse of a conditional statement.

Answers

Answer:

Negation is the correct answer to the given question

Step-by-step explanation:

The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the  conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .

For example :

F:      Number is 5.

~F:    Number is not 5.

Conditional statement         Negation(~)

True                                          False

False                                         True

All the other option are not determine the inverse of the conditional statement so these are incorrect option .

What is 14% of 8.5? Round to the nearest hundredth (if necessary).

Answers

Answer:

1.19

Step-by-step explanation:

Hope this helps :) I try to just get straight to the point so sorry for no work

What is the correlation coefficient for the data shown in the
table?
0
1
оооо
4
5

Answers

Answer:

1

Step-by-step explanation:

Can someone help me out on this question?

Answers

Answer:

They are similar, so 6/5 = 10/x.

You can do the rest yourself!

Help anyone???? Please

Answers

Answer: A

Angle a = Angle b since they are vertical angles

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?

Answers

Answer:

[tex]\frac{7}{40}[/tex]

Step-by-step explanation:

[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]

[tex]1-\frac{33}{40}[/tex]

[tex]\frac{7}{40}=0.175[/tex]

Answer:

7/40 is still left with him.

Step-by-step explanation:

LCM 5,10,8 = 40

2/5 = (x8) = 16/40 = food

3/10 = (x4) = 12/40 = rent

1/8 = (x5) = 5/40 = other expenses.

16/40 +12/40 + 5/40 = 33/40

40/40 - 33/40 = 7/40

Find the height of this shape, which has a volume of 21/32 cubic feet. Enter answer as a simplified fraction.
L=3/4
W= 1/4

Answers

Answer:

h=14

Step-by-step explanation:

3/4*1/4=3/16

21/32/(3/16)=14

Answer:

h=25

Step-by-step explanation:

Express the quotient in simplest form.

Answers

Answer:

(x-2)

----------------

x^3

Step-by-step explanation:

(x^2 -4)        x^3 -x^2 -6x

------------     ÷ ---------------------

x^3 + 7x^2        x^2 +4x -21

Copy dot flip

(x^2 -4)            x^2 +4x -21

------------     *  ---------------------

x^3 + 7x^2         x^3 -x^2 -6x

Factor

(x-2)(x+2)        (x+7)(x-3)

------------     *  ---------------------

x^2(x+7)         x(x-3)(x+2)

Cancel like terms

(x-2)                  1

------------     *  ---------------------

x^2                     x

(x-2)

----------------

x^3

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