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IKMC 2020 - Grades 11-12 - Set 2 - Self-study Question 2

IKMC · IKMC 2020 - Grades 11-12 - Set 2 - Self-study

Question 2

An ant walked every day along a straight horizontal path from A to B, 5 m apart. Two obstacles, each of height 1 m, are placed on its path as shown. It still follows the same straight line in horizontal projection, climbing vertically up and down over both obstacles. How long is its new path?

Question illustration
  1. 7 m
  2. 9 m
  3. $5+4\sqrt2$ m
  4. $9-2\sqrt2$ m
  5. It depends on the angles of the obstacles to the path.