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

Question

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

Quizplus · Accepted Answer

The Answer of 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

A Ferris Wheel Is Built Such That the Height H h(t)=67+54sin⁡(π18t−π2)h ( t ) = 67 + 54 \sin \left( \frac { \pi } { 18 } t - \frac { \pi } { 2 } \right)h(t)=67+54sin(18π​t−2π​)

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