Answer to Question #91510 in Classical Mechanics for jon

Question

find the x and y components of a 400 N force at an angle of 125 to the x-axis

Answer 1

This is the standard problem of the translation of polar coordinates $(r, \varphi) = (400, 125 \degree)$ to rectangular $(x,y)$. The relationship is

$$x = r \cos \varphi = 400 \cos 125 \degree \approx -229.43, \\ y = r \sin \varphi = 400 \sin125 \degree \approx 327.66.$$