24. Find the distance of the kite from the person

Akhil is flying a kite with a rope of length 168 \(m\) from a building of height 16 \(m\) above the ground. He observes the kite at an angle of 30\(^{\circ}\). His friend Dinesh observes the kite at an angle of 45\(^{\circ}\) from the ground. If they both are on the opposite sides of the kite, find the distance of the kite from Dinesh. (Use \(\sqrt{3} = 1.732\) and \(\sqrt{2} = 1.414\))

 

Answer:

 

The distance of the kite from Dinesh is $im$.

 

(Note: Round off the answer to \(2\) decimal places.)