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A person goes up a set of stairs of height 20 feet and boards the bottom of a ferris wheel of radius 30 feet. At t=0 seconds, the ferris wheel starting turning one revolution every 90 seconds. The height of the rider above the ground in feet as a function of time t in seconds is given by h(t) = 50-30 cos πt 45 a) When does the rider reach a height of 50 feet above the ground? State the first two times it does this - order does not matter. at seconds b) When doe the rider first reach a height of 65 feet? at seconds

A person goes up a set of stairs of height 20 feet and boards the bottom of a ferris wheel of radius 30 feet. At t=0 seconds, the ferris wheel starting turning one revolution every 90 seconds. The height of the rider above the ground in feet as a function of time t in seconds is given by h(t) = 50-30 cos πt 45 a) When does the rider reach a height of 50 feet above the ground? State the first two times it does this - order does not matter. at seconds b) When doe the rider first reach a height of 65 feet? at seconds

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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Find a and b
A person goes up a set of stairs of height 20 feet and boards the bottom of a ferris wheel of radius 30 feet. At t = 0 seconds, the ferris wheel starting turning one revolution every 90 seconds. The height of the rider above the ground in feet as a function of time t in seconds is given by h(t) = = 50-30 cos πt 45 a) When does the rider reach a height of 50 feet above the ground? State the first two times it does this - order does not matter. at seconds b) When doe the rider first reach a height of 65 feet? at seconds
Transcribed Image Text:A person goes up a set of stairs of height 20 feet and boards the bottom of a ferris wheel of radius 30 feet. At t = 0 seconds, the ferris wheel starting turning one revolution every 90 seconds. The height of the rider above the ground in feet as a function of time t in seconds is given by h(t) = = 50-30 cos πt 45 a) When does the rider reach a height of 50 feet above the ground? State the first two times it does this - order does not matter. at seconds b) When doe the rider first reach a height of 65 feet? at seconds
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