A standard clock shows 8:00 am. By the time it shows 2:00 pm, through how many degrees will the hour hand rotate ?
180°
The hour hand of a clock completes 360° in 12 hours, so it turns \(\frac{360^\circ}{12} = 30^\circ\) every hour (0.5° per minute).
Step 1 — From 8:00 am to 2:00 pm the time elapsed is 4 hours (8 to 12) + 2 hours (12 to 2) = 6 hours.
Step 2 — Angle turned by the hour hand = \(6 \times 30^\circ = 180^\circ\).
Step 3 — 240° would need 8 hours, 210° would need 7 hours and 150° would need 5 hours, so they do not match the 6-hour interval.
180° option is correct.
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