Question

Find the angle between hour-hand and minute-hand in a clock at thirty five past one.

Answer 1

The angle between any two consecutive numbers of a clock is `(360°)/12` = 30°.

If the minute-hand is at 7 and hour-hand is at 1, angle between them is (6 x 30°) = 180°.

But at 35 past one, i.e., at 1.35, the hour-hand has moved 35 minutes towards 2.

In 60 minutes, the hour-hand covers 30°, therefore in 35 minutes, it covers `((35 xx 30)/60)^circ` = 17.5

∴ the angle between the two hands of the clock at thirty five past one = 180° – 17.5

= 162.5°

= `162^circ(1/2)^circ`

= 162°30'   ....(1° = 60')