Question

The angle between the minute hand and the hour hand of a clock when the time is $8.30$, is:

• A. ${80}^o$
• B. ${75}^o$
• C. ${60}^o$
• D. ${105}^o$

Answer 1

Answer: (B)

${75}^o$

Angle traced by hour hand in $\frac{17}{2}hrs={(\frac{360}{12}\times \frac{17}{2})}^o=255$.
Angle traced by min. hand in ${30min.=(\frac{360}{60}\times 30)}^o=180$.
$\therefore$ Required angle $={(255-180)}^o={75}^o$.