Vector Component Help?

Question

Your friend has slipped and fallen. To help her up, you pull with a force F, as the drawing shows. The vertical component of this force is 115 newtons, and the horizontal component is 165 newtons

A) Find The Magnitude
B) Find The Angle


2.) An ocean liner leaves New York City and travels 53.0° north of east for 215 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the following directions?
(a) due east


(b) due north

Answer 1

Given orthagonal components of a vector, the vector length is the square root of the sum of the squares of the components (just like a right triangle). The angle is the arc tangent of the (y)component divided by the (x) component, where the angle is taken from the (x) direction to the (y) direction