Question

question 7 of 28
a water tower casts a 100 - foot shadow. at the same time, an 8 - foot street sign casts a shadow of 6 feet. what is the height of the tower?
a. 133.3 ft
b. 11.6 ft
c. 75 ft
d. 150 ft

Explanation:

Step1: Set up proportion

Let the height of the tower be $h$. Since the ratios of object - height to shadow - length are equal, we have $\frac{h}{100}=\frac{8}{6}$.

Step2: Solve for $h$

Cross - multiply: $6h = 8\times100$, so $6h=800$. Then $h=\frac{800}{6}=\frac{400}{3}\approx133.3$ ft.

Answer:

A. 133.3 ft