The angle between the minute hand and the hour hand of a clock when the time is 8:30
The angle between the minute hand and the hour hand of a clock when the time is 8:30
Answer/Solution
75
Steps/Work
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) = \inline 75^{o}
Answer: B) 75
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) = \inline 75^{o}
Answer: B) 75