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A pendulum-like swing at an amusement park moving in a circular arc at the end of a 49 meter arm. Find the distance traveled by a rider at the end of the swing's arm if the angle made between the two extreme points is 150° is?
  1. 135.22 m
  2. 132.45 m
  3. 128.33 m
  4. None of these
Explanation

To find the distance traveled by the rider, we need to calculate the arc length:

Given:

Radius (r) = 49 meters

Angle (θ) = 150°

First, convert the angle to radians:

θ = 150° * (π / 180)

= 150 * π / 180

= 5π/6 radians

Now, calculate the arc length (s):

s = r * θ

= 49 * (5π/6)

= 49 * 5 * 3.14159 / 6

128.33 meters

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