Puzzle #1 Coordinate Systems!

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"Where Are You?"

The standard geographical coordinates of Chicago are:

Latitude : 41 degrees 50 minutes
Longitude 87 degrees 45 minutes.

What are the x,y,z coordinates of Chicago in a coordinate system centered at the center of the Earth with the z -axis pointing from the South Pole to the North pole, and the x-axis passing through the zero longitude meridian pointing away from Europe into space.
Please answer this in words, not equations, briefly explaining how you obtained your answer.

 

The beautiful Earth image is from NASA.




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