The angle of elevation of the top of a tree from a point on the g

| The angle of elevation of the top of a tree from a point on the ground which is 300 m away from the tree is 30 ^o. When the tree grew up, its angle of elevation of the top of it became 60^o from the same point. How much did the tree grow?

A. 342 m

B. 364 m

C. 384 m

D. 346 m

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Let AB be the tree and BD be the increased height of the tree.

∠ BCA = 30°

Here distance AC = 300m

We need to find the value of BD.

By trigonometric ratios we have

Tan30° =

Tan60° =

So ; √3 × 300 = AD

BD = AD – AB

BD = 300√3 – 100√3 = 200√3 ≈ 346 m

The angle of elevation of the top of a tree from a point on the g

Right Answer is: D

SOLUTION

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