Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000
miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side
and another one on the other side.
a
miles
a = 600 miles
O 0.14 radians
O 0.135 radians
O 0.15 radians
O 0.145 radians
O 0.13 radians
Radius
4000 miles
Radius
4000miles
Transcribed Image Text:Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a miles a = 600 miles O 0.14 radians O 0.135 radians O 0.15 radians O 0.145 radians O 0.13 radians Radius 4000 miles Radius 4000miles
Expert Solution
Given data,
  • The distance between the two cities on the surface of the earth is 600 miles.
  • The radius of the earth is 4000 miles.

 

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