Question

the angle of elevation of the top of the tower from 2 points at a distance 4 m and 9 metre from the base of the tower prove that height of tower is 6 metre

Answer 1

The given situation can be represented as,

Let height of the tower be h m.

Given, the angles of elevation of the top of tower from the two points are complementary.

∴ ∠ACB = θ and ∠ADB = 90 – θ

In ∆ABC,

In ∆ABD,

∴ Height of the tower = h = 4 tan θ = 4 × = 6 m             (Using (1))

Thus, the height of the tower is 6 m.