The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 feet long. What is the height of the tree?

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The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 feet long. What is the height of the tree?

The height of the tree is 30 feet

Step-by-step explanation:

Let

h ----> the height of the tree

we know that

The tree casts a shadow that is 27 feet long

Your friend is 5 feet tall and casts a shadow that is 4.5 feet long

so

using proportion

Find out the height of the tree

[tex]\frac{h}{27}=\frac{5}{4.5}\\\\h=27(5)/4.5\\\\h=30\ ft[/tex]

30 ft tall

Step-by-step explanation: X= the height of the tree in feet

27/x = 4.5/5

(4.5)(x) = (27)(5)

(4.5)(x) = 135

divide by 4.5 to isolate x

135/4.5 = 30

x = 30

the tree is 30 ft tall

Set the equation up as a proportion, where x = the height of the tree in feet

27/x = 4.5/5

cross multiply

(4.5)(x) = (27)(5)

(4.5)(x) = 135

divide the entire equation by 4.5 to isolate x

135/4.5 = 30

x = 30

the tree is 30 ft tall

Proportion:-

27 4.5

=

x 5

x = height of tree.

4.5 · x = 27 · 5

4.5 · x = 135

135 ÷ 4.5 = 30

SO,

x = 30

The tree is 30 ft long.

Hope i helped ya!!

Th=Ukn

Ts=27

Fh=5

Fs=4.5

x/27=5/4.5

x=30

The tree is 30 feet tall.