Help with directions!

FrostScYthe

1. The problem statement, all variables and given/known data
A boat leaves the dock and sails in a direction of 70°. Once reaching its destination on the opposite shore, it sails
in a direction of 272° and docks 150 km north of its original starting position. What is the total distance the boat
has traveled?

2. Relevant equations
Sine Law


3. The attempt at a solution
I don't think I'm getting the right answer because I'm not representing the problem correctly. This is how I'm representing the problem then I just simply use AAS

cristo

Your angles are incorrect- they should be measured from north in a clockwise direction. Using this, you should be able to draw the correct diagram, where the final poistion is due north of the starting position.

radou

I assume the 272° is with respect to the 'horizontal axis'?