trig help needed

Question

Jenna is skiing along a circular ski trail that has a radius 3.2 km long. She starts at the 3-o'clock position and travels in the CCW direction. Jenna stops skiing when she is −2.656 km to the right and 1.7851 km above the center of the ski trail. Imagine an angle with its vertex at the center of the ski trail that subtends Jenna's path.

1. How many radians has the angle swept out since Jenna started skiing?
2. How many km has Jenna skied since she started skiing?

Answer 1

negative reference angle =tan^-1(y/x) = tan^-1(1.7851/-2.656) = -33.90508 degrees

add 180 and convert to radians

146.095 times pi/180 =about 2.55 radians

distance traveled = arc length = angle in radians times radius of 3.2 =2.55(3.2) = about 8.2 km