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Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.

Respuesta :

lekhagummalla
height of the flagpole = x
distance from flagpole to the mirror = 48 ft
height of Michele = 5 ft
distance from Michele to the mirror = 12 ft

Now, set the proportion.

x/48 = 5/12
48 * x/48 = 5/12 * 48
x = 240/12
x = 20

So, the height of the flagpole is 20 ft.

HOPE THIS HELPS!!!!
netlarue98

Answer:

20 ft.

Step-by-step explanation:

[tex]\frac{x ft}{48 ft} = \frac{5 ft}{12 ft} \\[/tex]

Cross multiply.

[tex]12x = (5 ft) (48 ft)[/tex]

[tex]12x = 240\\[/tex]

Solve for the variable.

[tex]x = 20 ft[/tex]

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