A skier skis CCW along a circular ski trail that has a radius of 1.6 km. She starts at the northern most point of the trail and travels at a constant speed, sweeping out 2.5 radians per hour. Let t represent the number of hours since she started skiing. a. Write an expression in terms of t to represent the number of radians that would need to be swept out from the East side of the ski trail to reach the skier's current position. Preview b. Write an expression in terms of t to represent the skier's distance to the East of the ski trail (in km). Preview c. Write an expression in terms of t to represent the skier's distance to the North of the ski trail (in km). Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 9RE
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A skier skis CCW along a circular ski trail that has a radius of 1.6 km. She starts at the northern most point of the trail and travels at a constant
speed, sweeping out 2.5 radians per hour. Let t represent the number of hours since she started skiing.
a. Write an expression in terms of t to represent the number of radians that would need to be swept out from the East side of the ski trail to
reach the skier's current position.
Preview
b. Write an expression in terms of t to represent the skier's distance to the East of the ski trail (in km).
Preview
c. Write an expression in terms of t to represent the skier's distance to the North of the ski trail (in km).
Preview
Transcribed Image Text:A skier skis CCW along a circular ski trail that has a radius of 1.6 km. She starts at the northern most point of the trail and travels at a constant speed, sweeping out 2.5 radians per hour. Let t represent the number of hours since she started skiing. a. Write an expression in terms of t to represent the number of radians that would need to be swept out from the East side of the ski trail to reach the skier's current position. Preview b. Write an expression in terms of t to represent the skier's distance to the East of the ski trail (in km). Preview c. Write an expression in terms of t to represent the skier's distance to the North of the ski trail (in km). Preview
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