Question

the deviation produced by reflection at two mirrors inclined to each other at angle theta is ​

Answer 1

The deviation produced by reflection at two mirrors is (360 - 2θ)

Explanation:

The image of the mirror inclined at an angle is given in the image below.

∠BAD = x ∠ABD + y

The above two angles are incidence angle.

∠OBA = 90 - y

∠OAB = 90 - x

Now, in ΔOAB, we have,

θ + 90 - y + 90 - x = 180

∴ θ = x + y → (1)

Thus, we have found the value of the angle θ.

The total deviation is given by the formula:

δ = 2(90 - x) + 2(90 - y)

δ = 180 - 2x + 180 - 2y

δ = 360 -2(x + y)

From equation, we get,

∴ δ = 360 - 2θ

Answer 2

Answer:

answer is in the picture