Answer: To calculate the angle between the minute hand and hour hand of a clock at 3:05 PM, we can use the following formula:
angle = |(30 * H) - (11/2 * M)|
where H is the hour and M is the minute.
At 3:05 PM, the hour hand is pointing to 3 and the minute hand is pointing to 1. Therefore, H = 3 and M = 5.
Substituting these values in the formula, we get:
angle = |(30 * 3) - (11/2 * 5)| = |90 - 27.5| ≈ 62.5 degrees
Therefore, the measure of the angle between the minute hand and hour hand of a clock at 3:05 PM is approximately 62.5 degrees.