Ferris Wheel Quiz

The center of this Ferris wheel is 50 feet above ground, and its radius is 35 feet.

If the Ferris wheel has 12 evenly spaced spokes, find the height of the rider at point B on the Ferris wheel. Round to the nearest tenth.

A Ferris wheel makes one full counterclockwise rotation in 60 seconds. Find the angular speed of the Ferris wheel in degrees per second.

• 7.2º per sec

• 6º per sec

• 30º per sec

• 12 mph

The center of this Ferris wheel is 50 feet above ground, and its radius is 35 feet.

If the angular speed of the Ferris wheel is 6º per second, find the height of a rider at 1 second past point A. Round to the nearest tenth.

The center of the wheel is 50 feet above ground, and the radius is 35 feet.

If the angular speed of the Ferris wheel is 6º per second, find the height of a rider at 30 seconds past point A.

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

The center of the wheel is 50 feet above ground, and the radius is 35 feet.

If the angular speed of the Ferris wheel is 6º per second, find the height of a rider at 59 seconds past point A. Round to the nearest tenth.

• 29.8 ft

• 40.2 ft

• 46.3 ft

• 35 ft

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

A kite is in the air at the end of a 900 foot string. The string makes an angle of 62° with the ground. Find the height of the kite off the ground. Round to the nearest tenth.

• 422.5 ft

• 1019.3 ft

• 169.3 ft

• 794.7 ft

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the reference angle for a 120° angle of rotation. __º

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

Find the reference angle for a 285° angle of rotation. __º

Use the given point on the circle to find the radius of the circle.

• 8.9

The circle has a radius of 5.39. What is the sine ratio for this angle of rotation?

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8