Question

The longitude of the person’s position at a place 3 hours ahead of UTC (Prime Meridian) is

• A. \( 15^\circ \text{E} \)
• B. \( 30^\circ \text{W} \)
• C. \( 45^\circ \text{E} \)
• D. \( 45^\circ \text{W} \)

Hint:

The Earth rotates 15° every hour. For every hour ahead of UTC, the longitude increases by 15° in the east.

Answer 1

The Correct Option is C

To calculate the longitude, we note that the Earth rotates 15° every hour (360°/24 hours).
If the person is 3 hours ahead of UTC (Prime Meridian), the time difference corresponds to \( 3 \times 15^\circ = 45^\circ \). The position 3 hours ahead is in the eastern hemisphere, so the longitude is \( 45^\circ \text{E} \).
Thus, the correct answer is option (C). Final Answer: \[ \boxed{45^\circ \text{E}} \]