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Kazeer [188]
3 years ago
9

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 buil

ding.
What is the length of the ladder?
Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

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 :)

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