Yacht sailing

Question

A yacht starts from point A and sails on a bearing of 035o for 2000 m. It then alters its course to one in a direction with a bearing of 320o and after sailing for 2500 m it reaches point B.

a) Find the distance AB.
b) Find the bearing of B from A.

Answer 1

bearing 35 = NNE 35 = 55 degree angle with x axis

for 2000 meters from A

then bearing 320 = NNW 40 = 130 degree angle with x axis to reach B

construct a parallelogram and calculate the diagonal length

= d = side opposite andlge D=?= use the law of cosines