Question

1. what time would it be if you rotated the hour hand 90° clockwise?

3:45
12:00
3:15
6:00

Explanation:

Step1: Determine initial time

The clock shows 3:00 (hour hand at 3, minute at 12).

Step2: Calculate rotation effect

A clock is a circle (360°), with 12 hours. So each hour mark is \( \frac{360^\circ}{12} = 30^\circ \) apart. A \( 90^\circ \) clockwise rotation: \( \frac{90^\circ}{30^\circ/\text{hour}} = 3 \) hours.

Step3: Find new time

Add 3 hours to 3:00: \( 3 + 3 = 6 \), so 6:00.

Answer:

6:00 (corresponding to the option "6:00")