Question

Two mirrors are set up at an angle of 90.0°. If light is incident on the first mirror at an angle of 34.6° from the normal, at what angle is it incident on the second mirror? ________° from the normal of the second mirror

Answer 1

Answer:

angle of incidence for the second mirror is 55.4 degree  

Explanation:

Given data;

Angle between two mirror is 90 degree

Incident angle on first mirror is 34.6 degree

For first mirror

Angle of incidence  is equal to  angle of reflection

34.6 degree = angle of reflection

$r_1 = 42.5 degree$

Now , for the triangle ABC         [from figure]

$90 - r_1 + 90 + 90 - i_1 = 180$

$34.6 + i_1 = 90$

$i_1 = 55.4 degree$

The angle of incidence for

angle of incidence for the second mirror is 55.4 degree