Question

when the sun is at a certain angle in the sky, a 100-foot building will cast a 25-foot shadow. how tall is a person if he casts a 1.5-foot shadow at the same time? enter only the number. the solution is

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the person. The ratio of building height to its shadow length should equal the ratio of person's height to their shadow length. So, \(\frac{100}{25}=\frac{h}{1.5}\)

Step2: Solve for \( h \)

First, simplify \(\frac{100}{25} = 4\). Then the equation becomes \(4=\frac{h}{1.5}\). Multiply both sides by \( 1.5 \): \( h = 4\times1.5 = 6 \)

Answer:

6