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34kurt
2 years ago
12

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

. If Wally, who is 68 inches tall, casts a shadow that is 41 inches in length, what is the height of the statue?
Mathematics
1 answer:
nataly862011 [7]2 years ago
5 0

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.

\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}

Upon substituting our given values in above equation, we will get:

\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}

\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}

\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4

\text{Height of statue}=272\text{ inches}

Therefore, the height of the statue is 272 inches.

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