To find the height of a flagpole Kasey measured her own shadow and the flagpoles shadow. KAsy's height is 5ft 4 inches. The shadow of the flagpole was 14ft and 3 inches and her shadow was exactly 3 ft. What is the height of the flagpole
64/36 = x/171
Cross multiply and solve for x.
Then convert your answer to feet.
5' 4" = 63 "
3' = 36"
14' 3" = 171"
64/36 = h/171
36 h = 64 * 171
To find the height of the flagpole, we can use proportions. We are given that Kasey's height is 5ft 4 inches, the shadow of the flagpole is 14ft and 3 inches, and Kasey's shadow is 3ft.
Let's assign variables to the unknown values. Let h be the height of the flagpole.
We can set up a proportion using the similar triangles formed by Kasey, her shadow, and the flagpole:
(Kasey's height) / (Kasey's shadow) = (Flagpole's height) / (Flagpole's shadow)
Plugging in the given values:
(5ft 4in) / (3ft) = h / (14ft 3in)
First, let's convert Kasey's height and the flagpole's shadow into inches for consistency:
5ft 4in = (5 * 12) + 4 = 64 inches
14ft 3in = (14 * 12) + 3 = 171 inches
Now we can rewrite the proportion:
(64in) / (3ft) = h / (171in)
To solve for h, we can cross-multiply and then divide:
64in * 171in = 3ft * h
10944in² = 3ft * h
Now, let's convert the result back into feet:
10944in² = 3ft * h
h = 10944in² / 3ft
To simplify the calculation, let's convert the result into feet and inches:
h = 10944in² / 3ft = (10944 / 12)ft = 912ft
So, the height of the flagpole is 912 feet.