Line of sight from a mountain?

roshambObama

New member
Need help with this problem. It isn't a simple trig equation. I've tried to find the solution w/ no luck.

Your standing on top of a 3km foot mountain, looking down at a 45 degree angle. How far away is the point you are looking at? (assume Earth's radius is 6370km)

Please provide formulas and show work.
 
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