SOLUTION: New York and Los Angeles are 2450 mi. apart. Find the angle that the arc between these two cities subtends at the center of the earth. (radius of the earth is 3960 mi.)
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-> SOLUTION: New York and Los Angeles are 2450 mi. apart. Find the angle that the arc between these two cities subtends at the center of the earth. (radius of the earth is 3960 mi.)
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Question 457671: New York and Los Angeles are 2450 mi. apart. Find the angle that the arc between these two cities subtends at the center of the earth. (radius of the earth is 3960 mi.) Found 2 solutions by ankor@dixie-net.com, Alan3354:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! New York and Los Angeles are 2450 mi. apart.
Find the angle that the arc between these two cities subtends at the center of the earth.
(radius of the earth is 3960 mi.)
:
Let A = the angle of the arc
:
The relationship of the distance between the cities to the circumference of the earth, equal the relationship of the angle to 360 degrees
: =
: =
Cross multiply
24881.4A = 2450*360
:
A =
A = 35.448 degrees
You can put this solution on YOUR website! Angle = arc/radius = 2450/3960
Angle = 0.61868 radians
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for degrees, multiply by 180/pi
= 35.448 degrees
