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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

Respuesta :

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
Ver imagen 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.

[tex]\frac{5}{6}= \frac{L}{50}[/tex]

[tex]6L=250[/tex]

[tex]L=250/6[/tex]

L = 41.67 ≈ 42 feet

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