MS 101 Alg & Trig test three ✪ Name:

The circle has a radius r = 100. The center of the circle is (100,100).

Pentagon 0 50 100 150 200 +x → 0 50 100 150 200 +y ↓ (0, 0) (100, 100) (200, 200) θ: 18° A B: adjacent C: coordinate D: opposite E: coordinate F: adjacent G: coordinate ↑ H: opposite I: coordinate φ 36° J K r = 100 r = 100

  1. ( _____ , _____ ) What are the coordinates of A, the point at the very top of the five-sided pentagon?
  2. __________ Given r = 100 and θ = 18°, calculate the length of B, the adjacent side.
  3. ( _____ , _____ ) What are the coordinates of point C?
  4. __________ Given r = 100 and θ = 18°, calculate the length of D, the opposite side.
  5. ( _____ , _____ ) What are the coordinates of point E?
  6. __________ Given r = 100 and φ = 36°, calculate the length of F, the adjacent side.
  7. ( _____ , _____ ) What are the coordinates of point G?
  8. __________ Given r = 100 and φ = 36°, calculate the length of H, the opposite side.
  9. ( _____ , _____ ) What are the coordinates of point I?
  10. ( _____ , _____ ) What are the coordinates of point J?
  11. ( _____ , _____ ) What are the coordinates of point K?