Answer:
Option (2) is the answer.
Step-by-step explanation:
From the figure attached,
AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.
Here AB = d = 6 feet
CD = w = 32 feet
BC = f = 9 feet
Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.
[tex]\frac{AB}{DE}=\frac{BC}{CD}[/tex]
[tex]\frac{6}{h}=\frac{9}{32}[/tex]
h = [tex]\frac{6\times 32}{9}[/tex]
h = 21.33 feet
h ≈ 21.3 feet
Therefore, height of the light post is 21.3 feet.
Option (2) is the answer.
