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A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground. To the nearest tenth of a
foot, how long is the ladder?

Sagot :

26.6 ft is the length of the ladder.

What is sin θ?

Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse.

According to question, A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.

Length of the ladder [tex]l[/tex] can be found by using

[tex]25=l sin70[/tex]°

⇒[tex]l=\frac{25}{0.9397} =26.6[/tex][tex]ft[/tex]

Hence, 26.6 ft is the length of the ladder.

Learn more about sin θ  here:

https://brainly.com/question/23488305?referrer=searchResults

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Mmharper2idn

Answer:

9.1 ft

Step-by-step explanation:

I just took the test.  This is the correct answer

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