Question

Question 5
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is ${60}^{\circ }$. Find the length of the string, assuming that there is no slack in the string.

Answer 1

Let BC be the height of the kite from the ground and AC be the inclined length of the string from the ground and A is the point where the string of the kite is tied.
As per question,


In right $\Delta$ABC,
sin ${60}^{\circ }=\frac{BC}{AC}$
$\Rightarrow \frac{\sqrt{3}}{2}=\frac{60}{AC}$
$\Rightarrow AC=40\sqrt{3}m$
Thus, the length of the string from the ground is $40\sqrt{3}m$.