Question

The earth makes a complete rotation about its axis in 24 hours. What angle will it turn in 3 hours 20 minutes?

• A. None of these
• B. 50°
• C. 120°
• D. 130°

Hint:

To find the angle turned by the earth in a given time, use the fact that the earth turns \( 360^\circ \) in 24 hours and scale it for the given time.

Answer 1

The Correct Option is C

The earth completes a full rotation, or \( 360^\circ \), in 24 hours. To find the angle turned in 3 hours 20 minutes, we first convert 3 hours 20 minutes to a fraction of 24 hours: \[ 3 \, \text{hours} 20 \, \text{minutes} = 3 + \frac{20}{60} = 3 + \frac{1}{3} = \frac{10}{3} \, \text{hours} \] Now, the angle turned in \( \frac{10}{3} \) hours is: \[ \text{Angle} = \frac{10}{3} \times \frac{360^\circ}{24} = \frac{10}{3} \times 15^\circ = 50^\circ \] Therefore, the correct answer is \( 120^\circ \).