Question

Sam wants to find the height of a window in a
nearby building but it is a cloudy day with no
shadows. Sam puts a mirror on the ground
between himself and the building. He tilts it
toward him 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?

Answer 1

I don't think you can answer the question without knowing how much the mirror had to be tilted.

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)

Maybe I'm missing something?

Answer 2

Idk the answer