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Two mirrors form a vertex with an angle of 128 Solution If the angle of incidenc

ID: 2205202 • Letter: T

Question

Two mirrors form a vertex with an angle of 128

Explanation / Answer

If the angle of incidence is 48 degrees, ==> It is striking the mirror at an angle of (90-48) degrees =42 degreesto the surface of the mirror. By the laws of reflection the reflected ray also would be at the same angle of 42 degrees with the surface of the first. This angle, the corner at which the mirrors are joined, and the angle where the ray is incident on the second mirror form the three angles of a triangle. The sum of 2 angles is 42 + 128 = 170 degrees The remaining angle is 180 - 170 = 10 degrees. So the ray strikes the second mirror at an angle of 10 degrees to the surface of the mirror. So angle of incidence on the second mirror is 90 - 10 deg = 80 deg. ==> The angle of reflection is same as angle of incidence, , that is 80 degrees. the angle of reflection of the ray when it leaves the second mirror is 80 degrees

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