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A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 angle of elevation. His eyes are 5 feet above the ground. Using cos 50 0.64, what is the height of the tree to the nearest foot? 350 5 ft 20 Ft 24 feet 29 feet 36 feet 31 feet Done

User Dreyln
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3.4k points

2 Answers

4 votes

Answer:

29

Explanation:

User Dqw
by
3.0k points
2 votes

Answer:

29 ft

Explanation:

We solve using the Trigonometric function of Tangent

tan θ = h - 5/20

θ = 50°

Hence

tan 50 = h - 5/20 feet

Cross Multiply

tan 50 × 20 feet = h - 5

23.8350718518842 + 5= h

h = 28.8350718518842

h = 29 ft

User Abhishek Nayak
by
3.9k points