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What is the height of the tree?
57°
30 feet

What is the height of the tree? 57° 30 feet-example-1
User Lissa
by
3.4k points

1 Answer

3 votes

Answer:

46.2 feet

Explanation:

In the right triangle model, you are given the angle, the adjacent side, and you want to find the opposite side. The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(57°) = height/(30 ft)

Multiplying by the denominator gives ...

height = (30 ft)tan(57°) ≈ 46.2 ft

The height of the tree is about 46.2 feet.

User Deepak Singh
by
3.9k points