Question

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

Answer 1

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

Answer 2

Option B: 42 feet is the answer.

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.

`(5)/(6)= (L)/(50)`

`6L=250`

`L=250/6`

L = 41.67 ≈ 42 feet

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