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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 69 inches tall, casts a shadow that is 41 inches in length, what is the height of the statue?

A. 276 inches
B. 300 inches
C. 97 inches
D. 252 inches

Answer :

The height of the statue is:

A. 276 inches

If Wally, who is 69 inches tall, catch a shadow that is 41 inch in length.

Height of Statue Calculation

To determine the height of the statue, you can use the principle of similar triangles. Similar triangles have the same angles, but not necessarily the same side lengths. You can use the ratio of the height of Wally and the length of his shadow to the height of the statue and the length of its shadow to find the height of the statue.

Height of Wally: 69 inches

Length of Wally's shadow: 41 inches

Height of statue: x

Length of statue's shadow: 164 inches

You can set up the proportion as:

69/41 = x/164

Solving for x, you get:

x = (69 × 164)/41

x = 276 inches

Thus the answer is A. 276 inches.

Learn more height of statue calculation here:

https://brainly.com/question/4729829

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