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 52.5° for the mirror arrangement shown in the figure, what is the angle of incidence on mirror 1? Mirror 3 Mirror 2 Pilar Hernando O Mirror 1 where 0,3 = 52.5° and 0 = 14.9°.

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**Problem Description:**
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 52.5° for the mirror arrangement shown in the figure, what is the angle of incidence on mirror 1?

**Given:**
- \(\theta_{r3} = 52.5°\)
- \(\theta = 14.9°\)

**Diagram Description:**
The diagram shows three mirrors arranged to reflect the light or sightlines. The path of light is marked with lines and angles:
- Mirror 1, Mirror 2, and Mirror 3 are labeled.
- The light path from Hernando to Pilar is shown, bouncing off the mirrors.
- The angle at Mirror 3 (\(\theta_{r3}\)) is labeled as 52.5°.
- The angle at Mirror 1 (\(\theta\)) is 14.9°.

**Objective:**
Determine the angle of incidence on mirror 1. The answer should be filled in the provided box.
Transcribed Image Text:**Problem Description:** 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 52.5° for the mirror arrangement shown in the figure, what is the angle of incidence on mirror 1? **Given:** - \(\theta_{r3} = 52.5°\) - \(\theta = 14.9°\) **Diagram Description:** The diagram shows three mirrors arranged to reflect the light or sightlines. The path of light is marked with lines and angles: - Mirror 1, Mirror 2, and Mirror 3 are labeled. - The light path from Hernando to Pilar is shown, bouncing off the mirrors. - The angle at Mirror 3 (\(\theta_{r3}\)) is labeled as 52.5°. - The angle at Mirror 1 (\(\theta\)) is 14.9°. **Objective:** Determine the angle of incidence on mirror 1. The answer should be filled in the provided box.
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