A Ferris Wheel Is Built Such That the Height H $h ( t ) = 67 + 54 \sin \left( \frac { \pi } { 18 } t - \frac { \pi } { 2 } \right)$

Multiple Choice

A Ferris wheel is built such that the height h (in feet) above the ground of a seat on the wheel at time t (in seconds) can be modeled by $h ( t ) = 67 + 54 \sin \left( \frac { \pi } { 18 } t - \frac { \pi } { 2 } \right)$ .The wheel makes one revolution every 36 seconds and the ride begins when t = 0.During the first 36 seconds of the ride, when will a person, who starts at the bottom of the Ferris wheel, be 67 feet above the ground?

A) 9 seconds and 22 seconds
B) 9 seconds and 27 seconds
C) 10 seconds and 22 seconds
D) 9 seconds and 17 seconds
E) 10 seconds and 17 seconds