The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
80$^\circ$
75$^\circ$
60$^\circ$
105$^\circ$
Explanation:
Angle traced by hour hand in$ \dfrac{17}{2} $hrs =$\left(\dfrac{360}{12} \times \dfrac{17}{2}\right)^\circ$= 255.
Angle traced by min. hand in 30 min. =$ \left(\dfrac{360}{60} \times 30\right)^\circ$ = 180.
$\therefore$ Required angle = (255 - 180)$^\circ$ = 75$^\circ$