Quiz about Ferris Wheel Trigonometry

Question 1

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

Accepted Answer

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

Answer

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

Answer

$$ an\left(30^{\circ} ight)=\frac{y}{81}$$

Question 2

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 $$ heta$$

Accepted Answer

$$h=45\sin\left( heta ight)+51$$

Answer

$$h=45\sin\left( heta ight)-51$$

Answer

$$h=51\sin\left( heta ight)+45$$

Answer

$$h=45\cos\left( heta ight)+51$$

Question 3

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 $$208^{\circ}$$

Accepted Answer

about 30 meters

Answer

about 78 meters

Answer

about 27 meters

Answer

about -21 meters

Question 4

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 $$113^{\circ}$$

Accepted Answer

about 92 meters

Answer

about 47 meters

Answer

about 41 meters

Answer

about -4 meters

Question 5

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 $$ heta$$ (select all that apply)

Accepted Answer

$$h=50\sin\left( heta ight)+65$$

Accepted Answer

$$h=65+50\sin\left( heta ight)$$

Answer

$$h=65\sin\left( heta ight)+50$$

Answer

$$h=50+65\sin\left( heta ight)$$

Question 6

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 $$70^{\circ}$$

Accepted Answer

about 112 meters

Answer

about 47 meters

Answer

about 104 meters

Answer

about 39 meters

Question 7

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 $$310^{\circ}$$

Accepted Answer

about 27 meters

Answer

about 43 meters

Answer

about -38 meters

Answer

about 108 meters

Question 8

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 $$360^{\circ}$$

Accepted Answer

<html><head></head><body>65 meters</body></html>

Answer

<html><head></head><body>50 meters</body></html>

Answer

<html><head></head><body>0 meters</body></html>

Answer

<html><head></head><body>113 meters</body></html>

Question 9

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 $$ heta$$

Accepted Answer

$$h=36\sin\left( heta ight)+40$$

Answer

$$h=72\sin\left( heta ight)+40$$

Answer

$$h=40\sin\left( heta ight)+72$$

Answer

$$h=40\sin\left( heta ight)+36$$

Question 10

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 $$407^{\circ}$$

Accepted Answer

about 66 meters

Answer

about 26 meters

Answer

about 4 meters

Answer

about -36 meters

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