Light rays are reflected from a mirror at an angle congruent to that which they strike it.
Anton’s placed a mirror flat on the ground and stood where they could see the top of the tree in the mirror. If anton’s eyes were 170 cm above ground level, and the mirror was 80 cm from the man and 12 meters from the foot of the tree, how tall is the tree?
The scenario is as illustrated in the attached figure.
Let the height of the tree be , using the AA triangle similarity theorem, we have
.
Therefore, the height of the tree is 25.5 meters.