Amerry-go-round has a radius of 18 feet. if a passenger gets on a
horse located at the edge of the wheel and travels 38 feet, find the
angle of rotation to the nearest degree.

The angle of rotation is 2.11 °

Step-by-step explanation:

Given as :

The radius of the round path = r = 18 feet

The length of the distance cover by wheel = l = 38 feet

Let The angle of rotation = Ф

Now, According to question

∵ length of the arc of a circle subtending an angle at center = Ф

So,

length of the distance cover by wheel = π × radius ×

Since 180° = π radian

And π = 3.14

So, length of the distance cover by wheel = 180 °× radius ×  

i.e  l = r × Ф

Or,  Ф =

Or,  Ф =  

Or, Ф = 2.11 °

So, The angle of rotation =  Ф = 2.11 °

Hence, The angle of rotation is 2.11 °   Answer

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