An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon? - mathselab.com

An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?

Question

An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?

A. 160°
B. 180°
C. 170°
D. 154°


Answer: B

Solution:

We know that angle traced by hour hand in 12 hrs = 360°

From 8 to 2, there are 6 hours.

Angle traced by the hour hand in 6 hours = 6 × 360/12 = 180°



An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon? - mathselab.com

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