Question

a water tower is 28 yards tall and its shadow is 45 yards long. a nearby windmill is 19.6 yards tall. how long is the windmills shadow? write your answer as a whole number or a decimal. do not round. yards submit

Explanation:

Step1: Set up proportion

Let \( x \) be the length of windmill's shadow. Since height and shadow are proportional, \(\frac{28}{45}=\frac{19.6}{x}\).

Step2: Cross - multiply

\(28x = 19.6\times45\).

Step3: Calculate \(19.6\times45\)

\(19.6\times45=(20 - 0.4)\times45=20\times45-0.4\times45 = 900 - 18=882\). So \(28x = 882\).

Step4: Solve for \(x\)

\(x=\frac{882}{28}=31.5\).

Answer:

\(31.5\)