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Chapter 10: Problem 1

The hour hand of a clock moves from 12 to 5 o'clock. Through how many degrees does it move?

Short Answer

Expert verified
The hour hand moves through 150 degrees from 12 to 5 o'clock.

Step by step solution

01

Determine the degree movement for each hour

Each hour of clock movement corresponds to 30 degrees. This is figured out by dividing the total degrees in a circle (360) by the 12 hours. Therefore, each hour = \(\frac{360掳}{12 hours} = 30掳/hour\)
02

Calculate the degree movement from 12 to 5

The hour hand moves from 12 to 5 which is a 5 hour interval. To find the degree of this movement, multiply the number of hours (5) by degrees per hour (30掳/hour). Therefore, Total degrees = hours \(\times\) degrees/hour = 5 hours \(\times\) 30掳/hour = 150掳

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