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The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
CBSE | Class 10 | Maths | NCERT | Some Applications Of Trigonometry
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.

Solution:

Let AB be the tower’s height, and C be the point elevation 30 metres away from the tower’s foot.

We need to Find: AB, which is the height of the tower

In right angle triangle ABC

AB/BC = tan 30°

AB/30 = 1/√3

⇒ AB = 10√3

As a result, 10√3 m is the height of the tower.

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