Question

a water towers shadow is 28 meters long. a 2 - meter tall sign casts a shadow of 4 meters. what is the height of the water tower?

Explanation:

Step1: Set up proportion

Since the ratio of height to shadow - length is the same for both the sign and the water - tower, we can set up the proportion $\frac{height_{sign}}{shadow_{length_{sign}}}=\frac{height_{tower}}{shadow_{length_{tower}}}$. Let the height of the water - tower be $h$. So, $\frac{2}{4}=\frac{h}{28}$.

Step2: Cross - multiply

Cross - multiplying the proportion gives us $4h = 2\times28$.

Step3: Solve for $h$

First, calculate $2\times28 = 56$. Then, we have $4h=56$. Divide both sides by 4: $h=\frac{56}{4}=14$.

Answer:

14