From a point 20 m away from the foot of a tower, the angle of elevation of thetop of the tower is 30 ยบ. Find the height of the tower.

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Given:

Distance of the point from the foot of the tower, d = 20m

Angle of elevation, θ = 30°

To find: Height of the tower, AB


Let AB be the height of the tower and C be the point.


In right angled Δ ABC,

tan [θ] = Opposite / Adjacent

Here θ = 30°

And also the opposite side is AB and the adjacent side is BC

tan 30 o = AB/BC


AB = BC tan 30°


From the question we know that BC = d = 20m


= 20 × (1 /√ 3) m

= 20 × 0.57735

= 11.56 m


Therefore the height of the tower is 11.56 m.

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