Question

jackson wants to find the height of the statue at the center of the towns square. he measures the statues shadow, and his friends shadow. his height is 5.6 feet tall, and his shadow is 1.4 feet long. the statues shadow is 2.2 feet long. the height of the statue is feet. since jacksons height is 5.8 feet, his shadow will be feet.

Explanation:

Step1: Set up proportion

Because the ratio of height to shadow - length is the same for Jackson and the statue. Let the height of the statue be $h$. The proportion is $\frac{\text{Jackson's height}}{\text{Jackson's shadow - length}}=\frac{\text{Statue's height}}{\text{Statue's shadow - length}}$, that is $\frac{5.8}{1.4}=\frac{h}{2.2}$.

Step2: Solve for $h$

Cross - multiply to get $1.4h = 5.8\times2.2$. Then $h=\frac{5.8\times2.2}{1.4}=\frac{12.76}{1.4}\approx9.11$ feet.

Answer:

9.11 feet