Angle Between Cities Los Angeles and New York City are approximately miles apart on the surface of the earth. Assuming that the radius of the earth is miles, find the radian measure of the central angle with its vertex at the center of the earth that has Los Angeles on one side and New York City on the other side. For each of the following angles, draw the angle in standard position. convert to radian measure using exact values. name the reference angle in both degrees and radians.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 39E
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Angle Between Cities Los Angeles and New York City are approximately miles apart on the surface of the earth. Assuming that the radius of the earth is miles, find the radian measure of the central angle with its vertex at the center of the earth that has Los Angeles on one side and New York City on the other side.

For each of the following angles,

  1. draw the angle in standard position.

  2. convert to radian measure using exact values.

  3. name the reference angle in both degrees and radians.

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