Question

A kite is flying at a height of 75 metres from the ground level, attached to a string inclined at ${60}^{\circ }$ to the horizontal. Find the length of the string to the nearest metre.

Answer 1

Let AC be the string of length h m and C be the point, makes an angle of 60° and the kite is flying at the height of 75 m from the ground level.

In a triangle ABC, given that height of kite isAB = 75 m and angle C = 60°

Now we have to find the length of string.

So we use trigonometric ratios.

In a triangle ABC,

$sinC=\frac{AB}{AC}$

$sin60=\frac{75}{h}$

$\frac{\sqrt{3}}{2}=\frac{75}{h}$

$h=\frac{150}{\sqrt{3}}$

Therefore h = 86.6

Hence length of string is 87 meters.