The sun’s rays hit the earth at an angle of 34 degrees to its surface. at what angle to the horizon should a flat

The sun’s rays hit the earth at an angle of 34 degrees to its surface. at what angle to the horizon should a flat mirror be positioned in order to direct the rays reflected from it horizontally towards the sun.

To find the angle at which the mirror should be positioned so that the reflected angle passes horizontally with respect to the sun, we write down the law of light reflection:
α = β.

As we can see, if the angle of incidence is equal to the angle of reflection, then as a result the angle at which the mirror is located will be half the angle of incidence or the angle of reflection.

The desired angle of reflection of sunlight should be equal to the difference between the entire unfolded angle (horizon) and the angle of incidence (34 °) together with a right angle (90 °):

180 – 34 – 90 = 56о – the desired angle of reflection to the horizon.

The angle of the mirror is half the size:
a = 56: 2 = 28о.

Answer: 28o.