Question

A boat leaves the entrance to a harbor and travels 150 miles on a bearing of N 59° E. How many miles north and how many miles east from the

harbor has the boat traveled?

Answer 1

N 59° E = 90-59 = 31°

Distance N = 150 sin (31°) = 77.25
Distance E = 150 cos(31°) = 128.58

Answer 2

x=miles north
cos53=x/150
x=90.3 miles north

y=miles East
sin53=y/150
y=119.8 miles East