Question

Find the angle between the hour hand and the minute hand of a clock when the time is 2:25

Answer 1

At 2:25 the hands of a clock are shown in the diagram At 2 o'clock the hour hand is at 2 In net 25 minutes hour hand has moved $25\times \frac{1^{\circ }}{2}$
i.e. $12s\frac{1^{\circ }}{2}$ Angle between 2 and 5 is ${90}^{\circ }$ .Thus the require anngle is ${90}^{\circ }-12\frac{1^{\circ }}{2}=77\frac{1^{\circ }}{2}$
$77\frac{1^{\circ }}{2}$