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Chapter 10: Problem 4

The hour hand of a clock moves from 1 to 7 o'clock. Through how many degrees does it move?

Short Answer

Expert verified
The hour hand moves through 180 degrees from 1 to 7 o'clock.

Step by step solution

01

Understand the movement of the hour hand

Each hour on the clock represents a movement of the hour hand by 30 degrees. This is because a full rotation around the clock (12 hours) equates to 360 degrees. So, for each hour, the hour hand moves through \(\frac{360}{12}\) equals 30 degrees.
02

Determine the start and end point

According to the problem, the hour hand moves from 1 o'clock to 7 o'clock. So, the starting point here is 1 and the end point is 7.
03

Calculate the total degrees

Now, we need to count the number of hours from 1 to 7. That is 7 - 1 = 6 hours. So, the total degrees through which the hour hand moves is 6 (hours) multiplied by 30 (degrees per hour), which equals 180 degrees.

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