Please work out this question With the working out on it. thanks

Question

Erin runs 3.8 km at a bearing of 059 from her house. She then changes direction to a bearing of 180 and runs until she is due east of her home. How far does she have to run if she goes straight back home? Give your answer to two decimal places.

 

Answer 1

cos(31°) = x/3.8

x = 3.8cos(31°) = 3.26 km