Two ships A and B leave port Y at the same time. A sailed on a bearing of 26 degrees for 30km while B sailed due west of Y for 10km, calculate

Question

(a) The distance of line AB
(b) The bearing of A from B
(c) The bearing of B from A

Answer 1

Assuming that by "bearing" you are using the notation that North = 0° and clockwise is positive, then you have a triangle
ABO, where O is the origin and angle BOA = 116°

use the cosine law:
AB^2 = 10^2 + 30^2 - 2(10)(30)cos116
find AB
then use the sine-law to find the other angles.