Question

The time by my watch is 10 minutes to 7, find the angle between the hour hand and the minute hand.

• A. ${110}^o$
• B. ${120}^o$
• C. ${105}^o$
• D. ${95}^o$

Answer 1

The correct option is D ${95}^o$

Angle traced minutes hand in 50 minutes = $\frac{50\times 360}{60}={300}^{\circ }$
The hour hand traces half a degree in one minute. Hence, angle traced by hour hand at 6 hour and 50 minutes = $6\times 30+\frac{50}{2}={205}^{\circ }$
Thus, angle between two hands = $300-205={95}^{\circ }$