Question

time a 6 foot person casts a 2 foot shadow, a nearby statue casts a ten foot shadow. how tall is the statue? hint: drawing a picture might help visualize the problem to set up a proportion. 16 feet 10 feet 3 feet 30 feet

Explanation:

Step1: Define variables and proportion

Let \( h \) be the height of the statue. The ratio of a person's height to their shadow length should equal the ratio of the statue's height to its shadow length. So we set up the proportion: \(\frac{6}{2}=\frac{h}{10}\)

Step2: Solve for \( h \)

Cross - multiply: \(2h = 6\times10\)
Simplify the right - hand side: \(2h=60\)
Divide both sides by 2: \(h=\frac{60}{2}=30\)

Answer:

30 feet (corresponding to the 30 feet option)