Question

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

• A. 144$^{\circ}$
• B. 150$^{\circ}$
• C. 168$^{\circ}$
• D. 180$^{\circ}$
• E.

Hint:

For clock problems, calculate how much the hands move per hour and then multiply by the time difference.

Answer 1

The Correct Option is D

Step 1: The hour hand completes \( 360^{\circ} \) every 12 hours.

Step 2: The gap between the two times is 6 hours, which is \( \frac{1}{2} \) of the 12-hour cycle.

Step 3: Half of \( 360^{\circ} \) is \( 180^{\circ} \).
\[ \boxed{180^{\circ}} \]