A boy is flying a kite with a string of length 100 m
A boy is flying a kite with a string of length 100 m

Consider AB as the height of the kite A and AC as the string

Angle of elevation of the kite = 260 32’

Take AB = x m and AC = 100 m

We know that

sin θ = AB/AC

Substituting the values

sin 260 32’ = x/100

So we get

0.4467 = x/100

By further calculation

x = 100 × 0.4467

x = 44.67 = 44.7 m

Hence, the height of the kite is 44.7 m.

Hence Proved