Astronomy question--can someone please help me answer these astronomy questions

Question

Astronomy question--can someone please help me answer these astronomy questions and show the work/steps for the answers? (Picture below)

Note: I am located in New York City (for the longitude part of the question)

a. You observe Polaris at an altitude of 70 in the North, a quarter moon just rising, and your watch says its 6 AM EST in NYC. What time is it locally? What's your latitude and approximate longitude? How do you know? Where are you? (Hint: what's the longitude of NYC? How many degrees of longitude per timezone? You can use an online Atlas to see where you are). b. Suppose instead, from the position of the Southern Cross, you estimate that the South Celestial Pole is at an altitude of 25° in the South. You see a full moon halfway between the zenith and the western horizon, and your watch tells you its 7 PM EST in NYC. Where are you?

Explanation / Answer

a) 360 degrees longitude which rotates within 24 hours . So 360/25 = 15

So the earth will turn 15 degrees per hour .

The approximate latitude is 40.178° N and longitude is 74.0059° W.

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