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 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.