5 A paint spot X lies on the outer rim of the wheel of a paddle-steamer. The wheel has radius 3 m and rotates anticlockwise at a constant rate. X is seen entering the water every 4 seconds. 3 m H is the distance of X above the bottom of the water level boat. At time t = 0, X is at its highest point. a Find a cosine model for H in the form H(t) = a cos(b(t – c)) + d. b At what time t does X first enter the water? bottom of the boat

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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5 A paint spot X lies on the outer rim of the wheel
of a paddle-steamer. The wheel has radius 3 m and
rotates anticlockwise at a constant rate. X is seen
entering the water every 4 seconds.
3 m
H is the distance of X above the bottom of the
water level
boat. At time t = 0, X is at its highest point.
a Find a cosine model for H in the form
H(t) = a cos(b(t – c)) + d.
b At what time t does X first enter the water?
bottom of the boat
Transcribed Image Text:5 A paint spot X lies on the outer rim of the wheel of a paddle-steamer. The wheel has radius 3 m and rotates anticlockwise at a constant rate. X is seen entering the water every 4 seconds. 3 m H is the distance of X above the bottom of the water level boat. At time t = 0, X is at its highest point. a Find a cosine model for H in the form H(t) = a cos(b(t – c)) + d. b At what time t does X first enter the water? bottom of the boat
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