Question

A kite is flying at a height of 60 m above the ground. The string attached to the kite is tied at the ground. It makes an angle of 60° with the ground. Assuming that the string is straight, find the length of the string. ( √3 = 1.73)

Answer 1

Let AB represent the height at which kite is flying and point C represent the point where the string is tied at the ground. 

∠ACB is the angle made by the string with the ground.

∠ACB = 60° 

AB = 60 m 

In right angled ∆ABC, 

sin 60° = AB/AC  … [By definition]

∴ AC = 40 = 40√3 × 1.73 = 69.20 m 

∴ The length of the string is 69.20 m.