The conditions are the same as in Exercise 41 except that the man can row at v₁ miles per hour and walk at v₂ miles per hour. If θ₁, and θ₂ are the magnitudes of the angles, show that the man will reach point Q in the least time when

Data from in exercise 41

A man is in a boat 2 miles from the nearest point on the coast. He is to go to a point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at 2 miles per hour and walk at 4 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time?

Transcribed Image Text:

sin 0₁ V₁ sin 0₂ V2