SOLUTION: I need some help with this problem. The 24 lines of longitude that approximate the 24 standard time zones are equally spaced around the equator. a. Suppose you use 24 central ang

Algebra ->  Trigonometry-basics -> SOLUTION: I need some help with this problem. The 24 lines of longitude that approximate the 24 standard time zones are equally spaced around the equator. a. Suppose you use 24 central ang      Log On


   

Question 79379: I need some help with this problem.
The 24 lines of longitude that approximate the 24 standard time zones are equally spaced around the equator.
a. Suppose you use 24 central angles to divide a circle into 24 equal archs. Express the measure of the angles in radians.
b. The radius of the equator is 3960 mi. About how wide is each time zone at the equator.
c. The radius of the Arctic Circle is about 1580 mi. About how wide is each time zone at the artic circle?
please help me
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The 24 lines of longitude that approximate the 24 standard time zones are equally spaced around the equator.
a. Suppose you use 24 central angles to divide a circle into 24 equal archs. Express the measure of the angles in radians.
Circumference comprises 2(pi) radians
Each central angle will be [2(pi)]/24= pi/12 radians
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b. The radius of the equator is 3960 mi. About how wide is each time zone at the equator.
Each is [pi/12][3960]= 1036.73 miles
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c. The radius of the Arctic Circle is about 1580 mi. About how wide is each time zone at the artic circle?
Each is [pi/12][1580]=413.64 miles
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Cheers,
Stan H.
Cheers,
Stan H.