Question

A man who is 2 m tall stands on horizontal ground 30 m from a tree. The angle of elevation of the top of the tree from his eyes is 28˚. Estimate the height of the tree.

#Maths

Answer 1

Let the height of the tree be h. 

=> tan 28˚ = (h-2)/30

=> h – 2 = 30 tan 28˚

=> h = (30 ´ 0.5317) + 2  = 0.5317  (tan 28 = 0.5317)

= 17.951

Hence, the height of the tree is approximately 17.95 m.

Answer 2

Hii friend,
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Here is your answer
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Let the tree height be x

=> tan 28° = $\frac{x-2}{30}$

=> x - 2 = 30 tan 28°

=> x = (30 ´ 0.5317) + 2

=> x = (30 ´ 0.5317) + 2 ← tan 28° = 0.5317

=> 17.951
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HOPE THIS HELPS YOU :)