Question

use similar triangles to find the missing information. 7. a giraffe is 18 feet tall and casts a shadow of 12 feet. corry casts a shadow of 4 feet. how tall is corry? \\(\frac{12}{4}=\frac{18}{x}\\) \\(x = 6\\) corry is 6 feet tall

Explanation:

Step1: Set up proportion

Let \( x \) be Corry's height. The proportion from similar triangles is \( \frac{18}{12}=\frac{x}{4} \).

Step2: Cross - multiply

Cross - multiplying gives \( 12x = 18\times4 \).

Step3: Simplify right - hand side

Calculate \( 18\times4 = 72 \), so the equation is \( 12x = 72 \).

Step4: Solve for \( x \)

Divide both sides by 12: \( x=\frac{72}{12}=6 \).

Answer:

Corry is 6 feet tall.