The angle of reflection is the same from the mirror to Sam and from the mirror to the window so the two triangles are similar. The corresponding side lengths must then be proportional. Therefore:

\(\displaystyle{\frac{{{1.82}}}{{{1.22}}}}={\frac{{{h}}}{{{7.32}}}}\)

\(\displaystyle{\frac{{{1.82}}}{{{7.32}}}}={1.22}{h}\)

\(\displaystyle{13.3224}={1.22}{h}\)

\(\displaystyle{10.92}=\frac{{h}}{{7}}\)

[Pic]

The height of the window is then 10.92 m.

\(\displaystyle{\frac{{{1.82}}}{{{1.22}}}}={\frac{{{h}}}{{{7.32}}}}\)

\(\displaystyle{\frac{{{1.82}}}{{{7.32}}}}={1.22}{h}\)

\(\displaystyle{13.3224}={1.22}{h}\)

\(\displaystyle{10.92}=\frac{{h}}{{7}}\)

[Pic]

The height of the window is then 10.92 m.