Answer
$(\frac{5}{\sqrt{2}},\frac{5}{\sqrt{2}})$
Work Step by Step
Use the fact that a point $r$ units from the origin with an angle $\theta$ from the horizontal is located at $(r\cos\theta,r\sin\theta)$. Using $r=5$ and $\theta=45^\circ$, the point is located at $$(5\cos(45^\circ),5\sin(45^\circ))=(\frac{5}{\sqrt{2}},\frac{5}{\sqrt{2}})$$ Verify these trigonometric values using the unit circle if necessary.