Question

how tall is the tree? show work
5/1 = x/12
x = 5 × 12 = 60

Explanation:

Step1: Set up the proportion

Assume the height of the tree is \(x\). Using similar - triangles proportion \(\frac{5}{3}=\frac{x}{12}\) (height to shadow length ratio).

Step2: Solve the proportion

Cross - multiply: \(3x = 5\times12\). Then \(3x=60\). Divide both sides by 3: \(x=\frac{60}{3}\).

Answer:

\(20\) ft