Hong is flying two kites He has 104 feet of string out to on

Hong is flying two kites. He has 104 feet of string out to one kite and 113 feet out to the other kite. The angle between the strings is 25 degree as shown in the figure below. Find the distance between the kites. Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth of a foot.

Solution

let the distance between the kites = d

applying cosine rule on the triangle to find d

d^2 = 104^2 + 113^2 - 2(104)(113) cos 25

d^2 = 23585 - 21301.8582

d= 47.8

distance between two kites is 47.8 feet