Question: The function H ( t ) = c o s ( 3 6 ( t - 3 ) ) + 2 0 models a waterwheel

The function H(t)=cos(36(t-3))+20 models a waterwheel where H(t) measures the height of some chewing gum stuck to the circumference of the waterwheel above the surface of the water. The water wheel attains a maximum height of 50 cm above the surface of the water.
a. What is the radius of the waterwheel?
b. How far below the surface of the water does the waterwheel attain?
c. How long does it take the chewing gum to complete one revolution about the circumference of the wheel?
The function H ( t ) = c o s ( 3 6 ( t - 3 ) ) +

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