Problema Solution
A boat travels on a course of bearing N 40° 10' W for 79.0 miles. How many miles north and how many miles west has the boat traveled? (Round each answer to the nearest tenth.)
Answer provided by our tutors

x = 79*sin(40°10') = 79*sin(40.16667°) = 79*0.64501326 = 51.0 mi
y = 79*cos(40°10') = 79*cos(40.16667°) = 79*0.76417137 = 60.4 mi
The boat traveled 51.0 miles east and 60.4 miles north.