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?

135.22 m

132.45 m

128.33 m

None of these

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