Question

A point is located in a polar coordinate system by coordinates r = 2.5 m and Θ = 35°.
Find the x- and y-coordinates of this point, assuming that the two coordinate systems have the same origin.

Answer 1

$x=r\cos \theta\\ y=r\sin \theta\\\\ x=2.5\cdot\cos 35\approx2.5\cdot0.82\approx2.1\\ y=2.5\cdot\sin 35\approx2.5\cdot 0.57\approx1.4$