To find the height of the Eiffel Tower, Antoine placed a mirror of 500 meters away from the tower. He then positions himself so the top of the tower is visible in the mirror. He is standing 2.75 meters from the mirror and his eyes are 1.8 meters off the ground. How tall is the tower?
This will follow the principle that the angle of incidence of the light beam = the angle of reflection of the light beam
We can solve this by using similar triangles such that.....
1.8 / 2.75 = height of tower / 500 cross-multiply
500 * 1.8 / 2.75 = height of tower ≈ 327.3 m
arctan( 373.3 / 500) = 33.2° = angle of incidence
arctan ( 1.8/ 2.75) = 33.2° = angle of reflection