Question

Find the angle between hour-hand and minute-hand in a clock at twenty past seven.

Answer 1

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

If the minute hand is at 4 and the hour-hand is at 7, the angle between them is (3 × 30°) = 90°.

But at 20 past seven, i.e., at 7:20, the hour-hand has moved 20 minutes towards 8.

In 60 minutes, the hour-hand covers 30°, therefore in 20 minutes, it covers `((20 xx 30)/60)^circ` = 10°

∴ the angle between the two hands of the clock at twenty past seven = 90°+ 10° = 100°.