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 8.8 feet. since jacksons height is 5.8 feet, his shadow will be 1.45 feet. 1.45 1.52 2.9 1.16 feet. submit reset

Explanation:

Step1: Set up proportion

Since the ratio of height to shadow - length is the same for Jackson and the statue, we can set up the proportion $\frac{Jackson's\ height}{Jackson's\ shadow\ length}=\frac{Statue's\ height}{Statue's\ shadow\ length}$. Let Jackson's shadow length be $x$ feet. So $\frac{5.8}{x}=\frac{8.8}{2.2}$.

Step2: Cross - multiply

Cross - multiplying gives us $8.8x = 5.8\times2.2$.

Step3: Solve for $x$

First, calculate $5.8\times2.2 = 12.76$. Then $x=\frac{12.76}{8.8}=1.45$.

Answer:

1.45