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If the angle of reflection with the normal is 30 degrees as shown in the figure, what is the angle made by the incident ray with the reflecting surface?

Question

If the angle of reflection with the normal is 30 degrees as shown in the figure, what is the angle made by the incident ray with the reflecting surface?

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Solution

The angle of incidence is equal to the angle of reflection according to the law of reflection. Therefore, if the angle of reflection with the normal is 30 degrees, the angle of incidence (the angle made by the incident ray with the normal) is also 30 degrees.

However, the question asks for the angle made by the incident ray with the reflecting surface, not the normal. The normal is a line perpendicular to the reflecting surface. In a flat (or plane) surface, the angle between the normal and the surface is 90 degrees.

So, to find the angle between the incident ray and the reflecting surface, we subtract the angle of incidence from 90 degrees.

90 degrees - 30 degrees = 60 degrees.

Therefore, the angle made by the incident ray with the reflecting surface is 60 degrees.

This problem has been solved

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