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question 28 of 40 a building casts a 50 - foot shadow. alex is 5 feet t…

Question

question 28 of 40
a building casts a 50 - foot shadow. alex is 5 feet tall and casts a 6 - foot shadow. approximately how tall is the building?
a. 50 ft
b. 42 ft
c. 60 ft
d. 24 ft

Explanation:

Step1: Set up proportion

Let the height of the building be $h$. We have the proportion $\frac{h}{50}=\frac{5}{6}$.

Step2: Cross - multiply

$6h = 5\times50$, so $6h=250$.

Step3: Solve for h

$h=\frac{250}{6}\approx41.67\approx42$ ft.

Answer:

B. 42 ft