A clock is started at noon. By 10 minutes past 5. the hour hand has turned…

Solution:

For 12 hours, the hour hand moves 360°. Therefore, for (12 × 60) = 720 minutes, the hour hand moves 360°.

For 1 minute, the hour hand moves 360° / 720 = 0.5°.

From noon to 5:10, the time elapsed is 5 hours and 10 minutes.

Convert this to minutes: (5 × 60) + 10 = 310 minutes.

The angle turned by the hour hand is: 310 × 0.5° = 155°.

Thus, the hour hand has turned through 155°.