A clock is started at 6 o’clock in the morning. Through how many degrees will the hour hand rotate by the time the clock shows 11 o’clock the same morning?

Introduction / Context:The hour hand completes 360° in 12 hours, i.e., 30° per hour. The rotation from one marked hour to another equals (time in hours) * 30°.

Given Data / Assumptions:

• Start time = 6:00 a.m.; end time = 11:00 a.m.
• Elapsed time = 5 hours.

Concept / Approach:Multiply elapsed hours by 30°/hour to get total rotation of the hour hand.

Step-by-Step Solution:

Verification / Alternative check:From 12 to 1 = 30°, so 5 hours is exactly five such steps. Diagramming on a clock face corroborates 150°.

Why Other Options Are Wrong:140°, 160°, and 180° do not align with a 30° per hour step count over exactly 5 hours.

Common Pitfalls:Confusing the minute hand’s 360° per hour rate with the hour hand’s slower motion.

Final Answer:150°.