Finding angles on clocks

Question

What is the exact angle formed by the hour and minute hand at 4:05?

Answer 1

At 4:00 the angle is 120°.

The minute hand moves 5/60, or 1/12, or 30°

The angle would be 90°, except the hour hand also moves.

The hour hand moves 1/12 of the five marks (30°) between the 4 and the five. This is 2.5°.

 

The angle is 90 - 2.5 or 87.5°