Question

The length of a string between a kite and a point on the ground is 60 m. If the string makes an angle of ${30}^{\circ }$ with the ground, how high is the kite (in metre)? ___

Answer 1

Drop a perpendicular from the kite to the ground. This becomes the opposite side with respect to the angle of elevation.

Let the height of the kite from the ground be 'h' i.e. AB = 'h'.

From the triangle ABC,
Sin30${}^{\circ }$ = $\frac{AB}{AC}=\frac{h}{60}$

$\Rightarrow \frac{1}{2}=\frac{h}{60}$

So, height (h) = $\frac{60}{2}$ = 30 m