Question

a boy standing on a horizontal plane finds a kite flying at a distance of 50 km from him at an angle of 30°. a girl standing on the roof of 30 m high building finds angle of elevation of the same kite to be 45°. both boy and girl are on the opposite side of the kite . find the distance of the kite from the girl.

Answer 1

hope this will help you in solving your problem

Answer 2

Distance of kite from boy = 50km=50000m.
Height of kite from ground=50000sin30°
Let 'a' be height of kite from roof.
Therefore, a+30=25000m.
a=24970m
Let 'x' be distance of kite from girl.
xsin45°=24970
$x = \frac{24970}{sin45} \\ =35312.913m$

Distance of kite from girl~=35.31km