Question

An aircraft takes off from an airport and flies 400km in a direction N40E(degrees). It then changes course and flies in a direction S20E(degrees) until it is 500 km from the airport. What is the direction of the airport from the aircraft's final position(in degrees)? How far did it fly along the second leg of the journey??

Answer 1

You are looking for the length of side BC.
Use the law of sines to find the measure of angle C.
Once you have the measures of angles B and C, find the measure of angle A.
Then use the law of sines again to find the length of side BC.

Answer 2

oh ok thanks