A kite is flying at a height of 30 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∘. Find the length of the string, assuming that there is no slack in the string.
20√3 m
The situation can be represented by the figure below:
In the given right-angled triangle:
sin(∠ACB)=ABAC
⇒sin60∘=ABAC
⇒AC=ABsin60∘=30√32=60√3=20√3
∴ Length of the string is 20√3 m.