Question

The string of a kite is 100 m long and it makes an angle of 60° with the horizontal. If there is no slack in the string, the height of the kite from the ground is

(a) 50√3

(b) 100√3

(c) 50√2

(d) 100m

Answer 1

Correct answer is (a)

Let AB be the string of the kite and AX be the horizontal line.

If \(BC \perp AX,\) then AB = 100m and ∠BAC = 60°

Let:

BC = h m

In the right \(\triangle ACB,\) we have:

Hence, the height of the kite is \(50\sqrt{3}\,m.\)