A 10 meter ladder is leaned up against a building. If
the angle of elevation is 60 degrees, what is the
height of the building?

Answers

Answer 1

Answer:

8.7

Step-by-step explanation:

Use trigonometry. The ladder and the building form a right triangle with the ground. You are given the length of the hypotenuse and the base angle. You use sine since we are trying to figure out the opposite side from the angle and we have the hypotenuse length. Sin = opposite/hypotenuse. So in this case, sin 60°= x/10. We solve for x by multiplying both sides by 10. Now x= sin 60° (10) = (0.8660)(10) = 8.7 m.


Related Questions

Write the inverse of the f(x) = 3x + 5

Answers

Answer:

f(x) = 5x +3

Step-by-step explanation:

Answer:

(1 / 3) x + (5 / 3)

Step-by-step explanation:

write an equation that models this situation. Each of the 24 students in Mr. Shaws homeroom sold 10 tickeys to a sports event. How many tickets were sold in the homeroom

Answers

Answer:

24*10

Step-by-step explanation:

Can someone please help me!!

Answers

Answer:

B.

Step-by-step explanation:

What is the surface area of a cylinder with a radius of 10 cm and a height of 30 cm

Answers

The answer is A≈2513.27cm²

Write an equation of the line that passes through (8.1) and is perpendicular to the line 2y + 4x = 12

Answers

Answer:

The equation of the perpendicular line is 2x-4y -12=0

Step-by-step explanation:

Explanation

Given that the equation of the line is 4x+2y-12=0

The equation of the perpendicular line b x -ay +k=0

The equation of the perpendicular line  2x -4y +k=0

This line passes through the point (8,1)

                           2(8)-4(1)+k=0

                      ⇒ 16 -4+k=0

                    ⇒   12 +k=0

                           k =-12

The equation of the perpendicular line is 2x-4y -12=0

How do we locate the solution of a systems of linear equation?

Answers

Answer:

Graph the two lines and the solution is where the lines intersect.

Step-by-step explanation:

a landscaper is designing a park in the shape of a kite with a fountain in the center, F. AK = 28 ft, PF=48 ft and F=32 ft. He wants to install a walkway around the border of the park. The inside edge of the walkway will be edged with brick. The bricks are purchased in linear feet. How many linear feet of bricks should he purchaase?

Answers

Answer:

169.9

Step-by-step explanation:

The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants? Show work.

Answers

Answer: Constant of proportionality is $6 for one pair and cost of dry cleaning 11 pairs of pants is $66.

Answer:

87?

Step-by-step explanation:

Which graph represents an exponential function?

Answers

Answer:

the second one is the exponential function

Helen ate 1/10 of a cake. She divided The remainder into 3 equal portions. What fraction of the cake was in each portion

Answers

Answer:

As she ate 1/10 of cake, we need to know how many cake remains after it, so we can substract:

1 - 1/10 = 10/10 - 1/10 = 9/10

Then, we need to divide the 9/10 into 3 portions:

(9/10) / 3 = 9/30 = 3/10

So we know the fractions would be 3/10 each on this situation..

linear functions m and p are shown

Answers

Answer:

if it is straight line it's a linear

if £2000 is placed in a bank account that pays 3% compoud interest each year , how much will be in the account after 2 years

Answers

Answer:

£2060

Step-by-step explanation:

If the bank pays then you are earning.

3% of 2000 = 60

2000 + 60 = 2060

Simple explanation for how to convert fractions to the same denominator

Answers

Answer:

To make the denominators the same we can: Multiply top and bottom of each fraction by the denominator of the other. Ex. we simplified the fraction 2032 to 1016 , then to 58 by dividing the top and bottom by 2 each time, and that is as simple as it can get!

I LiKE YoUr CuT G what's 4 divided by 5?

Answers

Answer: 0.8% or 80%

Step-by-step explanation: Good luck! :D

Answer:

0.8

Step-by-step explanation:

like your cut g lollllllllllllllllllllllllllllllllllllllll

10) Colleen paid $19.85 per hour for tennis lessons for 3 hours of instruction. If she gave
the instructor $60.00, how much change did she get back?

Answers

Answer:

40.15$

Step-by-step explanation:

subtract 20 from 60, you get 40. then add the 0.15 back. bam! 40.15$. hope this helped!! ^___^

Aria’s father is laying tile in their new kitchen. The length of one side of the room is 17 feet. Each of the tiles has a length of 1 3/10 feet. What is the length of the two tiles placed together?

Answers

Answer:

48ft

Step-by-step explanation:

48ft

the hare ran a total of 80ft in about 4 minutes. what was his unit rate in minutes?

Answers

Step-by-step explanation:

divide 80 by for answer. number feet oer minute

Look at the attachment

Answers

Answer:

7/8

Step-by-step explanation:

3 1/2x1/4 Calculator!!!!!!! srry if it is not the answer.

- Write 4/12 as a sum of unit fractions

Answers

Answer:

Step-by-step explanation:

[tex]\frac{4}{12}=\frac{1+1+1+1}{12}=\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}[/tex]

Two​ trains, Train A and Train​ B, weigh a total of 196 tons. Train A is heavier than Train B. The difference of their weights is 26 tons. What is the weight of each​ train?

Answers

Answer:

a. A = 111 tons

b. B = 85 tons.

Step-by-step explanation:

Let the weight of the heavier train be A.

Let the weight of the other train be B.

Translating the word problem into an algebraic equation, we have;

A + B = 196 tons .......equation 1

A - B = 26 .......equation 2

A = 26 + B .........equation 3

Substituting eqn 3 into eqn 1, we have;

26 + B + B = 196

2B = 196 - 26

2B = 170

B = 85 tons.

To find A, using eqn 3;

A = 26 + B

A = 26 + 85

A = 111 tons

Please help.
Of the 400 6th grade students at Aviara Oaks Middle School, the ratio of boys to girls is 2:3. Of the 360 students at Valley Middle School, the ratio of boys to girls is 3:5.

Which middle school has more boys attending their school?



How many girls attend AOMS?




How many girls attend VMS?




What is the ratio of girls attending Aviara Oaks Middle School to girls attending Valley Middle School?

Answers

Answer:

Step-by-step explanation:

Aviara Oaks Middle School:

Total student = 400

Boys : girls = 2:3

Boys = 2x , girls = 3x

2x + 3x = 400

       5x = 400

         x = 400/5

         x = 80

Number of boys = 2x = 2*80 = 160

Number of girls = 3x = 3 *80 = 240

VMS:

Total student = 360

Boys :  girls = 3 : 5

Number of boys = 3x

Number of girls = 5x

3x + 5x = 360

       8x = 360

        x = 360/8

       x =  45

Number of boys= 3x = 3 *45 = 135

Number of girls = 5x = 5 * 45 = 225

AOMS school has more boys attending their school.

Ratio of girls attending Aviara Oaks Middle School to girls attending Valley Middle School = 240 : 225

                                    = 48 : 45

What is the first step in solving the equation 9m - 2 = 16?
Add 2 to each side.
Subtract 2 from each side.
Divide each side by 9.
Multiply each side by 9.

Answers

Answer: Add 2 to each side

Step-by-step explanation:

9m-2=16

+2 +2

9m=18

add 2 to each side so 9m = 16 + 2

Find the value of x ​

Answers

The answer is 76
If this answered help you then please consider marking it as brainliest to help me level up to expert

Deisha saved d dollars last month. This month she saved $8 more than 3 times the amount she saved last month. She saved a total of $141

Answers

Answer:

Step-by-step explanation:

plz answer correctly

Answers

A and b

Hope this helps!!!!!
Brainliest plzzzzz

Factor this polynomial completely 6x^4-30x³-84x²

Answers

Step-by-step explanation:

Given

6x^4 - 30x³ - 84x²

= 6x² ( x² - 5x - 14 )

= 6x² ( x² - ( 7 - 2 ) x - 14 )

= 6x² ( x² - 7x + 2x - 14 )

= 6x² {x(x - 7) + 2 ( x - 7)}

= 6x² ( x - 7) (x +2 )

Hope it will help :)

Answer: 6x² ( x - 7) (x +2 )

Step-by-step explanation:

Alecia had save 60% of the cost of a new cell phone. If she has saved $105, what is the full price of the cell phone?

Answers

40% more rhdjdjdjdjdjdbdbdbd

What is the answer to dis question

Answers

Answer:

$238

Step-by-step explanation:

Jessie spent $10 on 3 hair accessories. Which
point represents this relationship?

Answers

Answer:

A

Step-by-step explanation:

(x, y) = (3, 10) . . . . Point A

answer:a is the answer i’m pretty sure sorry if i’m not correct

pls solve for x, will give brainliest to whoever

Answers

Answer:

60 degrees

Step-by-step explanation:

all angles of an equilateral triangle are 60 degrees

Answer:

x=60

Step-by-step explanation:

We know that since all sides are the same, all angles are the same.

x=angle

(180) is the amount of degrees when you add up all of the angles in the triangle

3x=180

x=60

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