# Law of reflection problem

1. Nov 30, 2007

### mrlucky0

1. The problem statement, all variables and given/known data

In an amusement park maze with all the walls covered with mirrors, Pilar sees Hernando's reflection from a series of three mirrors. If the reflected angle from mirror 3 is 52° for the mirror arrangement shown in the figure, in which = 12°, what is the angle of incidence on mirror 1?

2. Relevant equations
law of reflection:
angle incident = angle reflected (with respect to normal)

3. The attempt at a solution

Working backwards, I arrived at 40 degrees.

Last edited: Nov 30, 2007
2. Nov 30, 2007

### Staff: Mentor

Angle $\beta$ = 12°?

3. Nov 30, 2007

### mrlucky0

Yes, alpha = 52, beta = 12.

Just hope if anyone can confirm my answer. I worked it through and did not have to use trig.

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