If a clock shows 3:15, what is the angle between the hour and minute hands?

If a clock shows 3:15, what is the angle between the hour and minute hands?

Step 1: Identify the hour and minute from the clock. The hour is 3 and the minutes are 15.
Step 2: Calculate the angle for the hour hand. The formula is 30 times the hour. So, 30 * 3 = 90 degrees.
Step 3: Calculate the angle for the minute hand. The formula is (11/2) times the minutes. So, (11/2) * 15 = 82.5 degrees.
Step 4: Find the difference between the two angles. Subtract the minute hand angle from the hour hand angle: 90 - 82.5 = 7.5 degrees.
Step 5: The angle between the hour and minute hands at 3:15 is 7.5 degrees.

Clock Angle Calculation – Understanding how to calculate the angle between the hour and minute hands of a clock using the formula: Angle = |(30*hour - (11/2)*minutes)|.