We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.
We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.
[tex]\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}[/tex]
Upon substituting our given values in above equation, we will get:
[tex]\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}[/tex]
[tex]\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}[/tex]
[tex]\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4[/tex]
[tex]\text{Height of statue}=272\text{ inches}[/tex]
Therefore, the height of the statue is 272 inches.
