A boy is flying two kites at the same time He has a 350 ft

A boy is flying two kites at the same time. He has a = 350 ft of line out to one kite and b = 410 ft to the other. He estimates the angle between the two lines to be 30°. Approximate the distance between the kites. (Round your answer to the nearest foot.

Solution

let distance between the kites be x

by law of cosines

x²=350²+410²- 2*350*410*cos30^o

x²=42050.71

x=205

distance between the kites =205ft