Question

question 3 of 5 select the correct answer from each drop - down menu. 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 friend 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. 22.4 6.6 7.84 8.8 submit reset

Explanation:

Step1: Set up proportion

Let the height of the statue be $h$. Since the ratio of height to shadow - length is the same for Jackson and the statue, we have the proportion $\frac{\text{Jackson's height}}{\text{Jackson's shadow - length}}=\frac{\text{Statue's height}}{\text{Statue's shadow - length}}$, that is $\frac{5.6}{1.4}=\frac{h}{2.2}$.

Step2: Solve for $h$

Cross - multiply to get $1.4h = 5.6\times2.2$. Then $h=\frac{5.6\times2.2}{1.4}$. First, calculate $5.6\times2.2 = 12.32$, then $h=\frac{12.32}{1.4}=8.8$.

Answer:

8.8