An airport passes over an airport and continues flying on a heading of N 70¡ãW for 3 km. The airplane then turns left and flies another 2 km until the airport is exactly due east of its position. What is the distance between the airplane and the airport, to the nearest tenth of kilometer?

1 answer

If the airport is at (0,0)
first leg is to (-2.819,1.026)
the second leg is on a course of S20°W for a distance of x where

1.026-xcos20° = 0
x = 1.092
So, the 2nd leg is to (-3.192,0)