Question

1. an analog clock shows 5 minutes after the hour. how many degrees must the minute sweep until it reaches 15 minutes after the hour? a) 30° b) 45° c) 60° d) 70° e) 85°

Explanation:

Step1: Calculate the angle per minute for the minute hand

The minute hand of a clock makes a full - circle (\(360^{\circ}\)) in 60 minutes. So the angle per minute is \(\frac{360^{\circ}}{60}=6^{\circ}\) per minute.

Step2: Calculate the number of minutes the minute hand needs to move

The minute hand needs to move from 5 minutes after the hour to 15 minutes after the hour. The number of minutes it moves is \(15 - 5=10\) minutes.

Step3: Calculate the total angle

Since the angle per minute is \(6^{\circ}\) and the number of minutes is 10, the total angle is \(6^{\circ}\times10 = 60^{\circ}\)

Answer:

C. \(60^{\circ}\)