Question

A car travels in a direction 45 degrees east of south what is its compass heading?

Answer 1

In a diagram,

And, in general, the initial side of an angle is the x-positive axis; in this case, the line that goes from the center to the east. Therefore,

Let theta be the orange angle; then,

$\begin{gathered} \theta=90\degree+90\degree+90\degree+45\degree=315\degree \\ \Rightarrow\theta=315\degree \end{gathered}$

Thus, the answer is 315°