Question

A motorboat sets out in the direction Upper N 70 degrees 48 prime Upper E. The speed of the boat in still water is 34.4 mph. If the current is flowing directly​ south, and the actual direction of the motorboat is due​ east, find the speed of the current and the actual speed of the motorboat.

Answer 1

11.31 mph

Explanation:

60' = 1°

48'=x°

X = 48/60

X = 0.8°

Hence 70°48' = 70.8°

θ = 90°-70.8°

θ = 19.2°

Sin 19.2 = bc/34.4

Bc = sin 19.2 × 34.4

Bc = 0.32866×34.4

BC = 11.31 mph