Hal walked from point A to point B due north east from a distance of 20m. He immediately changed direction and walked 50m from B to C on a bearing of 110 degrees.

Question

1. calculate the distance AC
2. Find the bearing of C from A

Answer 1

I made a sketch and got a triangle ABC where AB = 20
BC = 50 and angle B = 70°

by the cosine law:
AC^2 = 20^2+50^2-2(20)(50)cos70
= 2215.959...
AB =47.07 m

Using the sine law, find angle A