8 m 5 m water A waterwheel rotates 5 revolutions anticlockwise in 1 minute. Tom starts a stopwatch when the bucket B is at its highest height above water level. The radius of the waterwheel is 8 m and its centre is 5 m above the water level. The height of bucket B above water level is given by h = a cos bt + c, where t is the time, in seconds, since Tom started the stopwatch. (i) Determine the value of each of the constant a, b and c. (ii) For how long is h< 0? B.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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8 m
5 m
water
A waterwheel rotates 5 revolutions anticlockwise in 1 minute. Tom starts a
stopwatch when the bucket B is at its highest height above water level. The radius of
the waterwheel is 8 m and its centre is 5 m above the water level.
The height of bucket B above water level is given by h = a cos bt + c, where t is
the time, in seconds, since Tom started the stopwatch.
(i)
Determine the value of each of the constant a, b and c.
(ii)
For how long is h< 0?
B.
Transcribed Image Text:8 m 5 m water A waterwheel rotates 5 revolutions anticlockwise in 1 minute. Tom starts a stopwatch when the bucket B is at its highest height above water level. The radius of the waterwheel is 8 m and its centre is 5 m above the water level. The height of bucket B above water level is given by h = a cos bt + c, where t is the time, in seconds, since Tom started the stopwatch. (i) Determine the value of each of the constant a, b and c. (ii) For how long is h< 0? B.
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