Draw a diagram to represent the situation. Start by drawing a segment to represent the distance between Sam and the base of the building. Place a point on the segment and label the portion from Sam to this point as 1.22 m and the other portion as 7.32 m. Then draw two right triangles that have right angles at the endpoints of the first segment. Label the height for Sam's triangle as 1.82 m and the height of the building's triangle as h:

Draw a diagram to represent the situation. Start by drawing a segment to represent the distance between Sam and the base of the building. Place a point on the segment and label the portion from Sam to this point as 1.22 m and the other portion as 7.32 m. Then draw two right triangles that have right angles at the endpoints of the first segment. Label the height for Sam's triangle as 1.82 m and the height of the building's triangle as h:

Question
Fractions
asked 2021-01-27
Draw a diagram to represent the situation. Start by drawing a segment to represent the distance between Sam and the base of the building. Place a point on the segment and label the portion from Sam to this point as 1.22 m and the other portion as 7.32 m. Then draw two right triangles that have right angles at the endpoints of the first segment. Label the height for Sam's triangle as 1.82 m and the height of the building's triangle as h:

Answers (1)

2021-01-28
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.
0

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