Question

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Answer 1

Answer:

The angle of rotation = 19.35°

Explanations:

The diameter of the ferris wheel = 225 feet

Radius, r = diameter/2

r = 225/2

r = 112.5 feet

The passenger travels 38 feet when the wheel stops

This is the arc length

Arc length = 38 feet

Using the formula for the length of an arc

`\text{Arc length = }(\theta)/(360)*2\text{ }\pi\text{ r}`
`\begin{gathered} 38\text{ = }(\theta)/(360)*2*(22)/(7)*112.5 \\ \theta\text{ = }(38*360*7)/(2*22*112.5) \\ \theta\text{ = }(95760)/(4950) \\ \theta\text{ = }19.35^0 \end{gathered}`

The angle of rotation = 19.35°