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

Answer:

22 inches

Step-by-step explanation:

Height of Mac = 5 feet

Height of shadow of Mac = 4 foot 6 inches = $4+\frac{6}{12}= 4.5$ 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

$\frac{5}{4.5}=\frac{x}{20}$

$\frac{5}{4.5} \times 20=x$

$22.22=x$

Hence the height of the tree is approximately 22 inches .