Math question of the day:
Imagine there's a circular mirror with 2 tiny holes. I put a laser pointer on one of the holes so that after a laser beam will bounce towards the 2nd hole. Derive a formula that will compute "theta" = the angle of the laser pointer relative to the line segment formed by first hole and center, given "phi" = angle formed by the center of the circle and the 2 holes, and n = number of bounces BEFORE reaching the 2nd hole. Illustration of the problem is included.

Question

Math question of the day:
Imagine there's a circular mirror with 2 tiny holes. I put a laser pointer on one of the holes so that after a laser beam will bounce towards the 2nd hole. Derive a formula that will compute "theta" = the angle of the laser pointer relative to the line segment formed by first hole and center, given "phi" = angle formed by the center of the circle and the 2 holes, and n = number of bounces BEFORE reaching the 2nd hole. Illustration of the problem is included.

anonymous · Answer

attachment

anonymous · Answer

Oh my God, I have to read words.

anonymous · Answer

look at the illustration, get theta given phi and n.

anonymous · Answer

clue from physics:$$\angle _{incidence} = \angle_{reflection}$$

anonymous · Answer

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