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PAstudent

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## Homework Statement

A motorboat can move with a velocity of 10.0 m/s, with respect to the water in a river. The river is flowing at 4.00 m/s due east. (a) Calculate the direction (Give the angle with respect to one of the compass directions.) the motorboat must be pointed so that it moves due north with respect to the riverbank? (b) The river is 542 meters wide; calculate the time required for this motorboat to cross the river if it is pointed in the direction calculated in part a.

## Homework Equations

Vbg=Vbw+Vwg

## The Attempt at a Solution

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I drew this picture then I found the angle by using arctan(4/10)= 21.8 degrees. My first question is how do you know how to tell the direction it is heading in like west of north or like east of north? Then, I used Pythagorean theorem to find the diagonal vector and it was 10.77 m/s. Does this seem correct so far so that I can find the time?