What is the degree measure of the angle through which the hour hand on a clock rotates from 4:00 pm to 8:00 pm?
To find the degree measure of the angle through which the hour hand on a clock rotates from 4:00 pm to 8:00 pm, we need to calculate the difference between the two positions.
First, let's consider that the hour hand completes a full rotation every 12 hours (i.e., 360 degrees in 12 hours). This means that in 1 hour, the hour hand moves 360 degrees / 12 = 30 degrees.
From 4:00 pm to 8:00 pm, there are 4 hours. So, we calculate the angle by multiplying the number of hours (4) by the degrees moved in 1 hour (30 degrees): 4 hours * 30 degrees/hour = 120 degrees.
Therefore, the degree measure of the angle through which the hour hand rotates from 4:00 pm to 8:00 pm is 120 degrees.