Question

A ferris wheel has a diameter of 224 feet. if a passenger gets in a car and travels 40 feet when the wheel stops to let more passengers on, find the angle of rotation to the nearest tenth of a degree. a 78.2 b 40.9 c 41.2 d 20.5

Answer 1

D) 20.5.

Explanation:

To find the angle of rotation, we can use the formula:

Angle of rotation = Arc length / Radius

First, we need to calculate the radius of the ferris wheel. The diameter is given as 224 feet, so the radius is half of that:

Radius = 224 feet / 2 = 112 feet

Now, we can calculate the angle of rotation:

Angle of rotation = 40 feet / 112 feet

Angle of rotation ≈ 0.3571 radians

To convert this to degrees, we multiply by 180/π:

Angle of rotation ≈ 0.3571 * (180/π) ≈ 20.4646 degrees

Rounding to the nearest tenth of a degree, the angle of rotation is approximately 20.5 degrees.

Therefore, the correct answer is option D) 20.5.