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solniwko [45]
3 years ago
15

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

Mathematics
2 answers:
Sergio [31]3 years ago
7 0

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.

Irina18 [472]3 years ago
5 0

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 .

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