Question

Mac is 5 feet tall and casts a 4 foot 6 inch shadow. At the same time, a nearby tree casts a 20

foot shadow
Which is the closest to the height of the tree?

Answer 1

I will convert feet to inches.

4 feet, 6 inches = 54 inches

20 feet = 240 inches

5/x = 54/240

Let x = closest height of tree

54x = 5(240)

54x = 1,200

x = 1200/54

x = 22.2222222222

The tree is about 22 feet tall.

Answer 2

22 inches

Explanation:

Height of Mac = 5 feet

Height of shadow of Mac = 4 foot 6 inches =
`4+(6)/(12)= 4.5` inches .

We are given that At the same time, a nearby tree casts a 20 foot shadow .

Let the height of the tree be x

ATQ

`(5)/(4.5)=(x)/(20)`

`(5)/(4.5) * 20=x`

`22.22=x`

Hence the height of the tree is approximately 22 inches .