Question

Describe the vector below shown below as an ordered pair. X-value? Y-value?

Answer 1

$\bf \begin{cases} x=rcos(\theta )\\ y=rsin(\theta )\\ ------\\ r=22\\ \theta =39 \end{cases}\implies (\stackrel{x}{22\cdot cos(39^o)}~,~\stackrel{y}{22\cdot sin(39^o)}) \\\\\\ (x,y)\approx (17.09721115~~,~~13.84504860)$

Answer 2

The red vector has a magnitude of 22 and makes an angle of 39 degrees with the horizonal x-axis.

Converting to rectangular form:  x = 22 cos 39 deg and y = 22 sin 39 deg