I am trying to understand fully the following question:
A boat is traveling west at 100m/s and is partially helped by a strong wind blowing at 20m/s 30 degrees north of west. What speed could the boat travel at in still water.
As I understand it I must resolve the wind into horizontal and vertical components subtract the horizontal component from 100 to get my answer.
So what I should do is: $$100-[(cos(30))(20)]=82.67949\space m/s$$
Is my understanding of the question correct or am I missing something?
This question is NOT from a homework assignment, rather a question I found elsewhere that I am attempting.