Question

write your answer as a whole number or a decimal. do not round.
x =
feet.

Explanation:

Step1: Use similar triangles property

Since the two triangles are similar (by AA similarity, as vertical angles are equal and both have right angles), we can set up the proportion \(\frac{z}{24}=\frac{40}{45}\).

Step2: Solve the proportion for \(z\)

Cross - multiply: \(45z = 24\times40\). Then \(z=\frac{24\times40}{45}\). Calculate \(24\times40 = 960\), and \(z=\frac{960}{45}=\frac{64}{3}\approx21.33\).

Answer:

\(21.33\)