Question

Sam wants to find the height of a window in a nearby building but it is a cloudy day. Sam puts a mirror on the ground between himself and the building. He tilts it so that when he is standing up he sees the reflection of the window. The base of the mirror is 1.22 meters from his feet and 7.32 meters from the base of the building. Sam's eye is 1.82 meters above the ground. How high up on the building is the window? The angle of the mirror is 56 degrees

Answer 1

If the mirror is tilted an angle x, and the angle θ from the normal is formed by the ray from eye to mirror to window, then we have (if the height of the window is h):

1.82/1.22 = tan(π/2-θ-Ø)
h/7.52 = tan(π/2-θ+Ø)