Asked by AAA
Light rays strike a plane mirror at an angle of α = 38.5° as shown in the figure below. What is the angle when the reflected rays are parallel to the first mirror incident ray?
s.yimg.com/tr/i/eed6f7a2c848473f8bffe8af4faac91a_A.png
s.yimg.com/tr/i/eed6f7a2c848473f8bffe8af4faac91a_A.png
Answers
Answered by
oobleck
Label the two impact points A,B, and extend the rays till they intersect at C
Then in triangle ABC,
angle A = 180-2α
and since alternate interior angles are congruent, angle C = α
So, angle B = 180-(180-2α)-α = α
β = 1/2 B
Now, what is θ in terms of α?
Find that, and you can then express β in terms of α and θ
Then in triangle ABC,
angle A = 180-2α
and since alternate interior angles are congruent, angle C = α
So, angle B = 180-(180-2α)-α = α
β = 1/2 B
Now, what is θ in terms of α?
Find that, and you can then express β in terms of α and θ
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