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. 60 ft
b. 24 ft
c. 50 ft
d. 42 ft i know its not A or C

Answer 1

D.
You have to make a proportion. Set it up 5/6 = x/50. Then cross multiply. 5x50=250. 6 x (x) = 6x. 6x=250. 250/6=41.66666. x=41.6666. Round up, and the building is about 42 ft. tall.

Answer 2

Option d is correct.

42 ft(Approximately) tall is the building.

Explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement: A building casts a 50-foot shadow.

Also, Alex is 5 feet tall and casts a 6-foot shadow.

⇒ Height of the Alex = 5 ft , Shadow of Alex = 6 ft and Shadow of the building= 50 ft.

Let height of the building be h.

Then, by definition of proportion,

`(Height of Alex)/(Shadow of Alex) = (Height of the building)/(Shadow of the building)`

Substitute the given values we get;

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

By cross multiply we get;

`50 * 5 = 6h`

Divide both sides by 6 we get;

`h = (50 * 5)/(6) = (250)/(6) = 41.6666667 ft`

Therefore, height of the building (approximately) is, 42 ft