Answer to Question #180774 in Physics for Santiyaa Ranjan

Question

A boat can travel at a speed of 8.0 m/s in water. The pain the wants to travel straight river, from south to north, but river from south to north, but the river is flowing from east to west with a speed of 4.0m/s. In order for the boat to go straight across the river, in which direction should it be aimed?

a) 27 degrees west of north

b) 30 degrees east of north

c) 63 degrees east of north

d) 30 degrees west of north

Answer 1

Find the angle:

$$\theta=\arcsin\frac{4}{8}=30º\text{ E of N}.$$