A 240-m-wide river flows due east at a uniform speed of 4.8m/s. A boat with a speed of 7.2m/s relative to the water leaves the south bank pointed in a direction 33o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground

a)

b)

Explanation:

From the question we are told that:

Width of river  

River speed

Boat speed

Boat Direction

Generally the equation for Boat Velocity Vector is mathematically given by

By Resolving Co-Planar forces

Therefore

Therefore Magnitude of Boat velocity is

b)

Generally the equation for Direction of the boat's velocity is mathematically given by