Two towns, P and Q, are on the International Date Line and in the same hemisphere. If the distance between the…

Analyze the question

Both towns lie on the International Date Line (180° longitude), so they are on the same meridian. The distance between them is therefore found from the difference in their latitudes. Both are in the same hemisphere (northern, since P is 3°N).

Concept

Along a meridian (a great circle), 1° of latitude corresponds to 60 nautical miles. The question writes "knm", which most likely means km, so we need to decide which unit applies.

• Distance = difference in latitude × 60 nm (nautical miles)
• Using the Earth's radius: distance = (θ/360) × 2πR, with R = 6400 km (or 6370 km)

Solution

Option 1: treat 444 as km.

1° of latitude ≈ 111 km (2π × 6370 / 360 ≈ 111.2 km)

Angle = 444 / 111 = 4°

Town Q is 4° of latitude away from P. In the same hemisphere:

Q = 3° + 4° = 7°N

(The other possibility, 3° − 4° = −1°, would be 1°S, which is in the other hemisphere, so it is ruled out by the "same hemisphere" condition.)

Option 2: treat 444 as nautical miles.

Angle = 444 / 60 = 7.4°, giving 10.4°N. This doesn't match any option cleanly, so the km interpretation is the intended one.

Answer

Town Q is located on latitude 7°N, which is option B.

Tip

• 1° of latitude ≈ 111 km. Memorize this.
• Same meridian means subtract or add the latitudes only. Same hemisphere means the latitudes are added/subtracted directly. Opposite hemispheres means you add the two latitudes to get the angle.
• Always check the "same hemisphere" clue to eliminate the extra answer (here, 1°S).