Two towns 21 mi apart are separated by a dense forest To tra

Two towns 21 mi apart are separated by a dense forest. To travel from town A to town B, a person must go 16 mi on a bearing of 325 degree then turn and continue for 8 mi to reach town B Find the bearing of B from A. The bearing of B from A is degree. (Do not round until the final answer. Then round to the nearest degree as needed.)

Solution

A triangle with sides 16mi, 8mi and 21 mi

angle betweensides 16mi and 21mi is assumed as x

So, apply cosine rule:

cosx= ( 16^2+ 21^2- 8^2)/2*16*21 = 0.94196

x = 19.615  

So, baeringfrom A to B : 325+19.615 =344.615 = 345 deg