Problema Solution
A bush pilot delivers supplies to a remote camp by flying 255km in the direction N52degreesE. While at the camp, the pilot receives a radio message to pick up a passenger at a village. The village is 85km S21degreesE from the camp. What is the total distance that the pilot will have flown by the time he returns to his starting point?
Answer provided by our tutors
make a good drawing
to calculate the distance d from the village to the starting point we will use the Law of cosines
d^2 = 225^2 + 85^2 - 2*225*85*cos (52 + 21)
d = 216.02 km
the total distance flown is
225 + 85 + 216.02 = 526.02 km.