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Question 441327: The radius of the earth is about 3959 miles.
The distance from the Reading traffic circle to the Natick Center is about 1/3 mile.
Find the angle in seconds made by two rays from the center of the earth through these two landmarks.
(1 radian = 180/π = 57.29577951 degrees, and 1 second = 1/3600th of one degree)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The radius of the earth is about 3959 miles.
The distance from the Reading traffic circle to the Natick Center is about 1/3 mile.
Find the angle in seconds made by two rays from the center of the earth through these two landmarks.
(1 radian = 180/π = 57.29577951 degrees, and 1 second = 1/3600th of one degree)
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arc length = theta*radius
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(1/3)mile = theta*3959
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theta = (1/3)/3959 = 0.000084196.. radians
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Convert to degrees:
0.000084196(180/pi) = 0.004824 degrees
= (0.004824)(60 seconds)
= 0.28945 seconds
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Cheers,
Stan H.
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