Problema Solution

Two boats leave from point A. One boat travels due east for 2 hours at a speed of 35 miles per hour to point B and stops. The other boat travels on a path that makes a 40 degree angle with the path of the first boat. The second boat travels until it is due north of point B. How far did the second boat travel? Round answer to the nearest tenth.

Answer provided by our tutors

the first boat will travel a distance of 2*35 = 70 mi


let d = distance traveled by the second both


cos 40 = 70/d


d = 70/cos(40)


d = 91.4 mi


the second both traveled 91.4 miles.