A boat is traveling due North at 27mph. A current is flowing at a bearing of 60° west of south at 8mph. Find the actual speed and direction of the boat written in magnitude and direction form.

Step-by-step explanation:

Given

Boat is traveling due to north at

The current is flowing west of south at

Suppose the actual velocity of boat is

In vector notation we can write

Flow of current can be written as

Insert the values of vectors

Magnitude of the velocity is

you would need to know all the numbers that are on there

step-by-step explanation:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: