At what angle are the hands of a clock inclin | vedclass

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Question

(C) The hour hand moves $360^{\circ}$ in $12$ hours,which is $30^{\circ}$ per hour or $0.5^{\circ}$ per minute.At $15$ minutes past $5$,the time is $5

Vedclass · Accepted Answer

$67 \frac{1}{2}^{\circ}$

Vedclass · Answer

(C) The hour hand moves $360^{\circ}$ in $12$ hours,which is $30^{\circ}$ per hour or $0.5^{\circ}$ per minute.At $15$ minutes past $5$,the time is $5$ hours and $15$ minutes,which is $315$ minutes past $12$.Angle traced by the hour hand $= 315 	imes 0.5^{\circ} = 157.5^{\circ}$.The minute hand moves $360^{\circ}$ in $60$ minutes,which is $6^{\circ}$ per minute.Angle traced by the minute hand in $15$ minutes $= 15 	imes 6^{\circ} = 90^{\circ}$.The required angle between the hands $= |157.5^{\circ} - 90^{\circ}| = 67.5^{\circ}$ or $67 \frac{1}{2}^{\circ}$.

At what angle are the hands of a clock inclined at $15$ minutes past $5$?

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