The angle between the minute hand and the hour hand of a clock when the time is 8:30  Choose the correct choice from the following options:  A) 33  B) 75  C) 29  D) 27  E) 299
Explanation:   Angle traced by hour hand in \inline \frac{17}{2} hrs = \inline \left ( \frac{360}{12}\times \frac{17}{2} \right )^{o} = 255   Angle traced by min hand in 30 min = \inline \left ( \frac{360}{60}\times 30 \right )^{o} = 180   \inline \therefore Required angle = (255 - 180)= 
<gadget id="calculator">(255 - 180)</gadget>
<output>75</output>
\inline 75^{o}   Answer: 75) 75
<result>B</result>
The angle between the minute hand and the hour hand of a clock when the time is 8:30