A horse is attached to 8 foot long rope can rotate through a distance of 28 feet what is the angle can the horse walk about

Respuesta :

Answer:

45 degrees

Step-by-step explanation:

8 foot and 28 feet put it with ruler measure the angle

The rope is an illustration of arc lengths, and the horse can walk through 200.6 degrees

How to determine the angle the horse can walk about?

The given parameters are:

  • Radius, r = 8 ft ---- the length of the rope
  • Length of arc, L = 28 ft --- the distance of rotation

The angle the horse can walk about is calculated using:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

[tex]28 = \frac{\theta}{360} * 2 * 3.14 * 8[/tex]

Evaluate

[tex]28 = \frac{\theta}{360} * 50.24[/tex]

Multiply both sides by 360/50.24

[tex]\theta = 200.6[/tex]

Hence, the horse can walk through 200.6 degrees

Read more about arc lengths at:

https://brainly.com/question/2005046

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