Question

Monique is skiing along a circular ski trail that has a radius of 2.5 km. She starts at the 3-o'clock position and travels in the CCW direction. Monique stops skiing when she is 1.742 km to the right and 1.793 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Monique's path.How many radians has the angle swept out since Monique started skiing?______ radians   How many km has Monique skied since she started skiing?______ km

Answer 1

Tan (angle) = 1.793/1.742 ==> angle = Tan^-1(1.793/1.742) = 0.7998 radians

Arc lenght = radius * angle in radians = 2.5 * 0.7998 = 1.9995

Answers:

0.7998 radians (approx.0.8 radians)

1.9995 Km (approx/ 2 km)