Question 1091768: satellite is in orbit 22,236 miles above the earth and travels directly over both New York City and Bogotá, Colombia, which lie on approximately the same meridian. New York City has a latitude of approximately 40.5 N and Bogotá has a latitude of approximately 4.6 N above the equator. If the earth has an radius of approximately 3,960mi, use the arc length formula to find the approximate length, in miles, the satellite has traveled.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! satellite is in orbit 22,236 miles above the earth and travels directly over both New York City and Bogotá, Colombia, which lie on approximately the same meridian.
New York City has a latitude of approximately 40.5 N and Bogotá has a latitude of approximately 4.6 N above the equator.
If the earth has an radius of approximately 3,960mi, use the arc length formula to find the approximate length, in miles, the satellite has traveled.
:
Find the radius from the center of the earth to the satellite
22236 + 3960 = 26196 mi
Find the angle from NY to Bogota
40.5 - 4.6 =35.9 degrees
Find the arc length
A.L = 16,414 mi, dist traveled by the satellite
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