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:
![(Shane (height))/(Shane' shadow (length)) = (Monument (height))/(Monument's shadow (length))](https://img.qammunity.org/2019/formulas/mathematics/middle-school/zvww3ok9qsscrr91oyiz887modpqfwr539.png)
![(5.5)/(Shane' shadow (length)) = (x)/(350)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/f099tgiy9ssx5v9hfnm8h02vemge02jb76.png)
Then, cross multiply and solve.
5.5(350) = Shane's shadow length (x)
![(5.5(350))/(Shane' shadow (length)) = x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/5nn4e8jeq8bfnuvzltql20ioig34gcjryi.png)
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:
![(T)/(X) = (U)/(Y) = (V)/(Z)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ibkfdga3el4zlq8nksrsqh3dp1pe7xc2rs.png)
![(12)/(8) = (8)/(6) = (6)/(3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/gs4e91cakjkd7zjfj2gvlf5evar9g1liuu.png)
simplify (or cross multiply) to see if they are equal to each other.
![(3)/(2) = (4)/(3) = (2)/(1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/mw0nmfr4t2ol4j2zqvl1pwar9w2r82oelv.png)
This statement is FALSE because they are not equal to each other.
Answer: TUV and XYZ are not similar polygons