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Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
. He is 20 feet from the base of the tree when he measures the angle. What is the height of the tree rounded to the nearest hundredth?

Respuesta :

sqdancefan

Answer:

  86.63 ft

Step-by-step explanation:

The tangent relation applies.

  Tan = Opposite/Adjacent

  tan(77°) = (tree height)/(20 ft)

  tree height = (20 ft)·tan(77°) ≈ 86.63 ft

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Additional comment

It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.

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