# 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

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 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

$\frac{h}{27}=\frac{5}{4.5}\\\\h=27(5)/4.5\\\\h=30\ ft$

2. AngChell21 says:

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

3. pineappledogpie4970 says:

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

4. QueenNerdy889 says:

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!!

5. dondre54 says:

Th=Ukn
Ts=27
Fh=5
Fs=4.5
x/27=5/4.5
x=30
The tree is 30 feet tall.