A ladder is leaning against a building and makes 32° angle with the ground. The top of the ladder reaches 20 feet up on the building.What is the length of the ladder?

Answers

Answer 1
Answer:

Answer:

37.74 ft

Step-by-step explanation:

An angle and its opposite side are known

Sin (of the angle)= opposite/ hypotenuse

The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse

Sin (32)= 20/ hypotenuse

hypotenuse= 20/ Sin (32)

Sin (32)=0.5299

hypotenuse= 20/ 0.5299

37.74 ft

Hopefully this helps :)

Answer 2
Answer:

Answer:

37.74

Step-by-step explanation:

37.74


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Simplify
Three over five
Or three fifths

Answers

3/5 cannot be simplified into a smaller fraction.


.6 or 3/5 is already simplified.

What is 3/8 as a decimal an show work

Answers

(3)/(8)=(3 * 125)/(8 * 125)=(375)/(1000)=\boxed{0.375}

Sammy had 30 minutes to do a three problem quiz. She spent 101/3 minutes on problem 1 and 54/5 minutes on problem 2. How much time did she have time for problem 3? Write your answer as a mixed number.

Answers

He is left with 13(13)/(15) minutes for the last problem

Step-by-step explanation:

Given

Total time =  30 minutes

Time spent on problem 1: 10(1)/(3) minutes

Time spent on problem 2: 5(4)/(5) minutes

First of all, we will calculate the total time for 2 problems

Time\ for\ two\ problems = 10(1)/(3)+5(4)/(5)\n= (31)/(3) + (29)/(5)\n= (155+87)/(15)\n=(242)/(15)

The remaining time is:

Time\ for\ problem\ 3 = Total\ time - Time\ for\ two\ problems\n= 30 - (242)/(15)\n= (450-242)/(15)\n=(208)/(15)\n= 13(13)/(15)

Hence,

He is left with 13(13)/(15) minutes for the last problem

Keywords: Fractions, mixed fractions

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To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. There are different units for perimeter and area The perimeter has the same units as the length of the sides of rectangle or square whereas the area's unit is squared.

Answers


Every word of that is correct, and well stated.
Do you have a question to ask about it ?


Is this supposed to be a question because it looks like a correct statement

Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the distance between the earth and the moon based on the speed of light.

Answers

To answer the question above, multiply the speed of light with the time it takes to travel from earth to the moon. In this given, the product of the speed of light, 186,000 miles per second and 11/3 seconds is 682, 000 miles. Thus, based on the speed of light, the distance between the earth and moon is 682, 000 miles. 

Answer:

The correct answer is:

186,000 x 1 1⁄3 = 248,000 miles

Step-by-step explanation:

Use the Pythagorean theorem to find the length of x on the triangle below.

Answers

x^2+16^2=20^2\nx^2=400-256\nx^2=144\nx=12