Question

A satellite photographs a path on the surface of the Earth that is 600 miles wide. Find the central angle that intercepts an arc 600 miles on the surface of the Earth​ (radius 3950​ miles).

WILL MARK BRAINLIEST

Answer 1

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Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°