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Height on a Ferris wheel

Authored by Kristin Cole

Mathematics

9th - 12th Grade

CCSS covered

Used 77+ times

Height on a Ferris wheel
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

sin⁡(30∘)=y81\sin\left(30^{\circ}\right)=\frac{y}{81}

cos⁡(30∘)=y81\cos\left(30^{\circ}\right)=\frac{y}{81}

tan⁡(30∘)=y81\tan\left(30^{\circ}\right)=\frac{y}{81}

Tags

CCSS.HSG.SRT.C.6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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 θ\theta  

 h=45sin⁡(θ)−51h=45\sin\left(\theta\right)-51  

 h=45sin⁡(θ)+51h=45\sin\left(\theta\right)+51  

 h=51sin⁡(θ)+45h=51\sin\left(\theta\right)+45  

 h=45cos⁡(θ)+51h=45\cos\left(\theta\right)+51  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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∘208^{\circ}  

about 78 meters

about 27 meters

about -21 meters

about 30 meters

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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∘113^{\circ}  

about 92 meters

about 47 meters

about 41 meters

about -4 meters

5.

MULTIPLE SELECT QUESTION

1 min • 1 pt

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 θ\theta  (select all that apply)

 h=50sin⁡(θ)+65h=50\sin\left(\theta\right)+65  

 h=65sin⁡(θ)+50h=65\sin\left(\theta\right)+50  

 h=65+50sin⁡(θ)h=65+50\sin\left(\theta\right)  

 h=50+65sin⁡(θ)h=50+65\sin\left(\theta\right)  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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∘70^{\circ} 

about 47 meters

about 112 meters

about 104 meters

about 39 meters

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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∘310^{\circ} 

about 43 meters

about -38 meters

about 27 meters

about 108 meters

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