Question

In 24 minutes the hour hand of a clock moves through an angle of

Answer 1

In 24 mins the hour hand of a clock move through an angle of obtuse

Answer 2

Answer:  The answer is 12°.

Step-by-step explanation:  We are to find the measurement of angle through which the hour hand of a clock moves in 24 minutes.

In 60 minutes, the hour hand hand of a clock moves through an angle of

$\dfrac{360^\circ}{12}=30^\circ.$

In 1 minute, the hour hand of a clock moves through an angle of

$\dfrac{30^\circ}{60}=\left(\dfrac{1}{2}\right)^\circ.$

Therefore, in 24 minutes, the hour hand of a clock moves through an angle of

$\left(\dfrac{1}{2}\times 24\right)^\circ=12^\circ.$

Thus, the angle is 12°.