Lighthouse B is 7 miles west sof lighthouse A. A boat leaves A and sails 15 miles. At this time, it is sighted from B. If the bearing of the boat from B is N62degE, how far from B is the boat?

Answer 1

Y = 15*sin(90-62) = 7.04 mi.
X = 7 + 15*cos(90-62) = 20.2 mi.

d = sqrt(20.2^2+7.04^2) = 21.4 mi.