Answer to Question #252311 in Trigonometry for Yonti

Question

1. A hot air balloon is 115 km due east of a landing field A. and another landing field B is 136 km due north of A. Find the distance and the bearing of the second landing field from the hot air balloon. (Disregard the balloon’s elevation.)

Answer 1

distance between hot air balloon and landing field A -> east (115 km)

distance landing field B and landing field A -> north (136km)

distance between hot air balloon and landing field B -> $S = \sqrt{115^2+136^2}=$ 178.1 km