Trigonometry question

Question

Elli decided to ski to a friends cabin. She skied 10km in the direction N40°E. She rested, then skied S45°E and arrived at the cabin. The cabin is 14.5km from her home, determine the distance she travelled on the second leg of her trip

answer is 7.1

Answer 1

Draw and label a diagram!

Her turn was through and angle of 85°

Use the Law of Cosines to determine distance of first leg of the trip.

Answer 2

The correct answer is not 7.1 km. Draw carefully the triangle setting her house at the origin

and apply the Law of Cosines