Question

A boat travels in a straight path that is 25° west of north. Which describes the values of the west and north components of the boat’s displacement?

Answer 1

west displacement = distance traveled * sin 25
north displacement = distance traveled * cos 25

Answer 2

Step-by-step explanation:

It is given that, a boat travels in a straight path that is 25° west of north. Let W and N is the component of the boat’s displacement due west and north directions.

The west component is equal to
`W\ cos\theta` and the north component is equal to
`N\ sin\theta`. According to Cartesian coordinate system, west is negative x direction and north is positive y direction.

So, the west component is a negative number and the north component is a positive number.