Question

In: Physics

The reflecting surfaces of two intersecting flat mirrors are at an angle of 57?, as shown...

The reflecting surfaces of two intersecting flat mirrors are at an angle of 57?, as shown in the figure. A light ray strikes the horizontal mirror at an angle of 57? with respect to the mirror

Expert Solution

The given figure can be represented as

In the figure,

57^o + CBD = 90^o

CBD = 33^o

BD is a normal. From the law of reflection,

ABD = CBD

= 33^o

Now,

66^o + BAF = 90^o

BAF = 24^o

Again, EF is a normal. From the law of reflection,

BAF = DAF

= 24^o

In triangle ABC,

ABC + BAC+ ACB = 180^o

66^o + 48^o + = 180^o

= 66^o

Therefore, = 66^o.

genius_generous answered 1 day ago

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