Question

1. if manny the martian’s shadow is 17.5 ft. in length and the shadow of a yard stick sitting perpendicular to the ground is 7.5 ft., what is manny’s height?

options: 6, 7, 8, 5.5

Explanation:

Step1: Set up proportion

Let \( h \) be Manny's height. The yard stick is 3 ft (since 1 yard = 3 ft). The proportion is \( \frac{h}{17.5} = \frac{3}{7.5} \).

Step2: Solve for \( h \)

Cross - multiply: \( 7.5h = 17.5\times3 \). Calculate \( 17.5\times3 = 52.5 \). Then \( h=\frac{52.5}{7.5}=7 \).

Answer:

7