16) The height, At, in meters, above the ground of a rider on a Ferris wheel can be modelled by the equation h(t) = 10 sin(t-7.5)] + 12, where t is the time in seconds. At t=0, the rider is at the lowest point. Determine the first two times that the rider is 20 meters above the ground, to the nearest hundredth of a second. Sketch the function first.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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16) The height, h, in meters, above the ground of a rider on a Ferris wheel can be modelled by the equation
h(t) = 10 sin(t-7.5)] + 12, where t is the time in seconds. At t=0, the rider is at the lowest point.
Determine the first two times that the rider is 20 meters above the ground, to the nearest hundredth of a
second.
Sketch the function first.
17) The height, in meters, of a nail in a water wheel above the surface of the water, as a function of time, can
be modelled by the function h(t) = -4 sin [2(t-1)] +2.5, where t is the time in seconds. During what
times in the first 14 seconds is the nail 4 m above the water? Sketch the function first.
Transcribed Image Text:16) The height, h, in meters, above the ground of a rider on a Ferris wheel can be modelled by the equation h(t) = 10 sin(t-7.5)] + 12, where t is the time in seconds. At t=0, the rider is at the lowest point. Determine the first two times that the rider is 20 meters above the ground, to the nearest hundredth of a second. Sketch the function first. 17) The height, in meters, of a nail in a water wheel above the surface of the water, as a function of time, can be modelled by the function h(t) = -4 sin [2(t-1)] +2.5, where t is the time in seconds. During what times in the first 14 seconds is the nail 4 m above the water? Sketch the function first.
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