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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.24 ft

B.42 ft

C.60 ft

D.50 ft

Verified Answer :

MadisonArmstrong

Use ratios to solve this!

5:6 or 5/6 is the ration for Alex. 

Cross multiplication is used to solve this, so: 
6x = 5(50) 
6x = 250 
x = 250/6 
x = 41.67 which then rounds to 42 feet.

Also to your earlier question here is a screenshot of what the box should look like, and i have circled the attach file icon

View image MadisonArmstrong

Answer:

Option B: 42 feet is the answer.

Step-by-step explanation:

The length of the shadow of the building is = 50 feet

Let the height of the building be = L

Height of Alex = 5 feet

Length of Alex's shadow = 6 feet

Now we will equate the ratios.

\(\frac{5}{6}= \frac{L}{50}\)

\(6L=250\)

\(L=250/6\)

L = 41.67 ≈ 42 feet

So, the height of the building is approx 42 feet.

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