Question

What is the angle between two hands of clock when the time in the clock is
$5^{\prime }oclock$

Answer 1

1. The total angle in a clock is ${360}^{\circ }$

2. The minute hand covers this ${360}^{\circ }$ in $60$ minutes. Thus, for every minute it covers $6^{\circ }$

3. The hour hand covers this ${360}^{\circ }$ in $12$ hours. Thus, in each hour it covers ${30}^{\circ }$

4. The minute had has travelled for 0 minutes. So, it has covered $30\times 0=0^{\circ }$

5. The hour hand has travelled for 5 hours. So, it has covered $5\times 30={150}^{\circ }$

6. The difference between the two will give the angle between the two hands. Thus, the required angle$={150}^{\circ }-0^{\circ }={150}^{\circ }$