Height on a Ferris wheel

Which trig ratio should we use to find the height (y) of the triangle?

• $\sin\left(30^{\circ}\right)=\frac{y}{81}$

• $\cos\left(30^{\circ}\right)=\frac{y}{81}$

• $\tan\left(30^{\circ}\right)=\frac{y}{81}$

Tom is riding a Ferris wheel with a radius of 45 meters and a center 51 meters off the ground. Assume Tom starts at the right-hand side of the Ferris wheel and it rotates counter-clockwise. 

Write an equation to model Tom's height at angle $\theta$  

•  $h=45\sin\left(\theta\right)-51$  

•  $h=45\sin\left(\theta\right)+51$  

•  $h=51\sin\left(\theta\right)+45$  

•  $h=45\cos\left(\theta\right)+51$  

Tom is riding a Ferris wheel with a radius of 45 meters and a center 51 meters off the ground. Assume Tom starts at the right-hand side of the Ferris wheel and it rotates counter-clockwise. 

Find Tom's height after the wheel rotates  $208^{\circ}$  

• about 78 meters

• about 27 meters

• about -21 meters

• about 30 meters

Tom is riding a Ferris wheel with a radius of 45 meters and a center 51 meters off the ground. Assume Tom starts at the right-hand side of the Ferris wheel and it rotates counter-clockwise. 

Find Tom's height after the wheel rotates  $113^{\circ}$  

• about 92 meters

• about 47 meters
  

• about 41 meters

• about -4 meters

Raya is riding a Ferris wheel with a radius of 50 meters and a center 65 meters off the ground. 

Assume Raya starts at the right-hand side of the Ferris wheel and it rotates counter-clockwise. 

Write an equation to model Raya's height at angle $\theta$  (select all that apply)

•  $h=50\sin\left(\theta\right)+65$  

•  $h=65\sin\left(\theta\right)+50$  

•  $h=65+50\sin\left(\theta\right)$  

•  $h=50+65\sin\left(\theta\right)$  

Raya is riding a Ferris wheel with a radius of 50 meters and a center 65 meters off the ground. Assume Raya starts at the right-hand side of the Ferris wheel.

Find Raya's height after the wheel rotates $70^{\circ}$ 

• about 47 meters

• about 112 meters

• about 104 meters

• about 39 meters

Raya is riding a Ferris wheel with a radius of 50 meters and a center 65 meters off the ground. Assume Raya starts at the right-hand side of the Ferris wheel.

Find Raya's height after the wheel rotates $310^{\circ}$ 

• about 43 meters

• about -38 meters

• about 27 meters

• about 108 meters

Raya is riding a Ferris wheel with a radius of 50 meters and a center 65 meters off the ground. Assume Raya starts at the right-hand side of the Ferris wheel.

Find Raya's height after the wheel rotates $360^{\circ}$ 

• 65 meters

• 50 meters

• 0 meters

• 113 meters

Kim is riding a Ferris wheel with a diameter of 72 meters and a center 40 meters off the ground. Assume Kim starts at the right-hand side of the Ferris wheel and it rotates counter-clockwise. 

Write an equation to model Kim's height at angle $\theta$  

•  $h=72\sin\left(\theta\right)+40$  

•  $h=40\sin\left(\theta\right)+72$  

•  $h=36\sin\left(\theta\right)+40$  

•  $h=40\sin\left(\theta\right)+36$  

Kim is riding a Ferris wheel with a diameter of 72 meters and a center 40 meters off the ground. Assume Kim starts at the right-hand side of the Ferris wheel and it rotates counter-clockwise. 

Find Kim's height after the wheel rotates  $407^{\circ}$  

• about 66 meters

• about 26 meters

• about 4 meters

• about -36 meters