Trig help needed

Question

Chance is running on a circular track that has a radius of 57 meters. He starts at the 3-o'clock position of the track (the east side of the track) and runs in the CCW direction. Let dd represent the number of meters Chance has traveled since he started running. Imagine an angle with a vertex at the circle's center subtending the path Chance has traveled.

1. Write a formula that expresses the number of radians the angle has swept out, θ, in terms of d.
2. Write a formula that expresses Chance's distance to the right (the east) of the center of the track in meters, h, in terms of d.

Answer 1

arc length = radius x the Angle measured in radians

d = 57A

A= d/57

distance to the right = h = 57CosA = 57Cos(d/57)