Question

You want to swim from one side of a river to another side. Assume your speed is three miles per hour in the west direction, with negligible water velocity. When you reach a certain point, you will encounter water flow with a velocity of 6.2 miles per hour in the north direction. What is your resultant speed and direction

Answer 1

speed = 6.71 mph and angle is 71.2 degree.

Step-by-step explanation:

speed of person, u = 3 miles per hour

speed of water, v = 6 miles per hour

Resultant speed

`V =√(v^2 + u^2)\\\\V = √(3^2 + 6^2)\\\\V = 6.71 mph`

The angle from the west is

tan A = 6/2 = 3

A = 71.6 degree