Question

you are in a ship and you make the following observations: the north star is 65° above the horizon, and the local time is 5 hours ahead of gmt (greenwich mean time). what is your position? 75o n 65o e 65o n 75o e 65o n 75o w 65o n 50o e

Explanation:

Step1: Determine Latitude

The altitude of the North Star (Polaris) above the horizon is approximately equal to the observer's latitude in the Northern Hemisphere. Given the North Star is \(65^\circ\) above the horizon, the latitude is \(65^\circ\) North.

Step2: Determine Longitude

Each hour of time difference from GMT corresponds to \(15^\circ\) of longitude (since the Earth rotates \(360^\circ\) in 24 hours, \(\frac{360^\circ}{24\ \text{hours}} = 15^\circ\) per hour). Local time is 5 hours ahead of GMT, so we are east of Greenwich (since time ahead means eastward). The longitude is \(5 \times 15^\circ= 75^\circ\) East.

Answer:

65° N 75° E (corresponding to the option: 65o N 75o E)