*10.  The drawing shows two plane mirrors that intersect at an angle of 50°. An incident light ray reflects from one mirror and then the other. What is the angle q between the incident and outgoing rays?

 

w1315

 

First make another diagram and identify a bunch of angles

The law of reflections gives us two relationships

 

and

We know two triangles

and

And we know

 

 

 

 

And

Plug these relations in

 

 

 

 

 

 

 

 

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This page last updated on June 28, 2018