1)
First, convert 5 ft 6 in into ft so all of the measurements are in the same units.
5 ft + 6 in = 5 ft + 0.5 ft = 5.5 ft
Next, set up the proportion as follows: [tex]\frac{Shane (height)}{Shane' shadow (length)} = \frac{Monument (height)}{Monument's shadow (length)}[/tex]
[tex]\frac{5.5}{Shane' shadow (length)} = \frac{x}{350}[/tex]
Then, cross multiply and solve.
5.5(350) = Shane's shadow length (x)
[tex]\frac{5.5(350)}{Shane' shadow (length)} = x[/tex]
Since you didn't provide the length of Shane's shadow, I can't find the height of the Monument. Hopefully, you can finish it from the information I provided.
2)
Same set up as #1
You didn't provide the height and length of Pete or the tree so I can't finish answering the question.
3)
set up the proportion as follows: [tex]\frac{T}{X} = \frac{U}{Y} = \frac{V}{Z}[/tex]
[tex]\frac{12}{8} = \frac{8}{6} = \frac{6}{3}[/tex]
simplify (or cross multiply) to see if they are equal to each other.
[tex]\frac{3}{2} = \frac{4}{3} = \frac{2}{1}[/tex]
This statement is FALSE because they are not equal to each other.
Answer: TUV and XYZ are not similar polygons
