Question

Through how many degree does the hour hand at 9 o'clock turn in 5 minutes? (i) 1/2 degree (ii) 3 whole 1/2 degree (iii) 5 degree (iv) 2 whole 1/2 degree

Answer 1

Answer:

The angle measure between any two consecutive numbers on a clock is 36012=30∘.

Call the "12" point on the clock the zero-degree point.

At 4:45, the minute hand is at the "9" - that is, at the 30×9=270∘ mark. The hour hand is three-fourths of the way from the "4" to the "5; that is,

30×434=142.5∘ mark.

Therefore, the angle between the hands is

270−142.5=127.5∘, the desired measure.