Question

The angle of elevation of the top of a Tower from a point on the ground , which is 30 metre away from the foot of the tower ,is 30° . find the height of the tower .



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Answer 1

Answer:

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Answer 2

$\huge\bold{Question:-}$

The angle of elevation of the top of a Tower from a point on the ground , which is 30 metre away from the foot of the tower ,is 30° . find the height of the tower.

$\huge\bold{Solution:-}$

Given the tower is 30m away from point A.

Given angle of elevation of top of tower is 30.

Let the height of tower be x

$tan \: 30 = \frac{bc}{ab}$

$\frac{1}{ \sqrt{3} } = \frac{1}{30}$

$x = \frac{30}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$

$x = \frac{30 \times \sqrt{3} }{3}$

$x = 10\sqrt{3}$

Therefore, Height of tower = 10√3 = 10 x 1.732

= 17.32 m