On June 21, the altitude of the noonday Sun is measured to be 66 1/2° to the north, and the marine chronometer reads 2 P.M. What are the latitude and longitude of the ship?
To determine the latitude and longitude of the ship, we can use the following information:
1. At noon, the altitude of the Sun is equal to the latitude of the observer.
2. The Earth rotates 15° per hour, so for each hour after noon, the longitude changes by 15°.
Given that the altitude of the noonday Sun is 66 1/2° to the north, this means the latitude of the ship is 66 1/2° N.
Since the marine chronometer reads 2 P.M., which is 2 hours after noon, the longitude of the ship has changed by 2 * 15° = 30°.
Therefore, the latitude of the ship is 66 1/2° N and the longitude is 30° W.