The hands of this clock look almost together. What is the exact angle between them?

It is 3:15. The minute hand is exactly on $3(90^{\circ })$, but the hour hand has moved a quarter of the way to 4: $90+7.5=97.5^{\circ }$. The gap is $7.5^{\circ }$. (0° assumes the hour hand is still on 3.)