Question

1. geometry *

at a certain time of day, a flagpole casts a 9.0 - foot - long shadow and a nearby 4.0 - foot - tall fence post casts a 2.4 - foot - long shadow. given that both the flagpole and the fence post are vertical and on level ground, what is the height, in feet, of the flagpole?
f. 5.4
g. 10.6
h. 15.0
j. 15.4
o f
o g
o h
o j

Explanation:

Step1: Set up proportion

Since the flag - pole and fence post are vertical and on level ground, the ratios of height to shadow length are equal. Let the height of the flagpole be $h$. We have the proportion $\frac{h}{9.0}=\frac{4.0}{2.4}$.

Step2: Solve for $h$

Cross - multiply: $2.4h = 4.0\times9.0$. Then $2.4h=36$. Divide both sides by 2.4: $h=\frac{36}{2.4}=15.0$.

Answer:

H. 15.0