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mscharris66
12.03.2020 •
Mathematics
Compute the arc length along the surface of the Earth (Radius =6378137 m) between two points separated at an angle of 0.5″ (seconds of arc) subtended at the center of the earth.
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Ответ:
Arc length ≈ 1700 m
Step-by-step explanation:
The arc length can be found using the following relation
A = (θ/360) x (2πr)
Where θ is arc angle in degrees and r is the radius
First convert seconds into degrees
55"/3600 = 0.01527 degrees
A = (0.01527/360) x (2π*6378137)
A ≈ 1700 m
You can also calculate directly through calculator as
A = r*tan(0°0'55")
A ≈ 1700 m
Ответ: