Bearings Problem Solving Question

Question

I walk 10km on a true bearing of 170°T and then 25km on a true bearing of 329°T. If I then wish to walk back to my starting position, how far must I walk and in what direction?                                                                                                                                                           CF

 

Answer 1

costruct a triangle SAS, side angle side

use the law of cosines

c^2=a^2+b^2-2abCosC

10-329-170- 25

10-159-25

a=10,b-25 C=159

solve for c=magnitude= how far you need to walk

use law of sines to find the angle or bearing = direction you need to walk