Question

A giraffe is 18 feet tall and casts a shadow of 12 feet. Corry casts a shadow of 4 feet. How tall is Corry? Use similar triangles to find the missing information.​

Answer 1

By using similar triangles and setting up a proportion with the giraffe's height and shadow, we find that Corry is 6 feet tall.

Step-by-step explanation:

To solve for Corry's height using similar triangles, we set up a proportion using the given measurements of the giraffe and its shadow, and Corry and his shadow. The ratio of the giraffe's height to its shadow is the same as the ratio of Corry's height to his shadow because of similar triangles.

To find Corry's height (h), we have:

Giraffe's height / Giraffe's shadow = Corry's height / Corry's shadow

18 feet / 12 feet = h / 4 feet

By cross-multiplying and solving for h:

12h = 18 × 4

12h = 72

h = 72 / 12

h = 6 feet

Therefore, Corry is 6 feet tall.

Answer 2

6 ft tall

12:18 as 4:X

4/12 = X/18
18 * 4/12 = X
72/12 = X
6 = X