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Sagot :

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

[tex]\text{Arc length = }\frac{\theta}{360}\times2\text{ }\pi\text{ r}[/tex][tex]\begin{gathered} 38\text{ = }\frac{\theta}{360}\times2\times\frac{22}{7}\times112.5 \\ \theta\text{ = }\frac{38\times360\times7}{2\times22\times112.5} \\ \theta\text{ = }\frac{95760}{4950} \\ \theta\text{ = }19.35^0 \end{gathered}[/tex]

The angle of rotation = 19.35°

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