A 7-foot tall stop sign creates a shadow that is 2 feet long. At the same time, a utility pole creates a shadow that is 11 feet long. How tall, in feet, is the utility pole?
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2
Step-by-step explanation:
let x be the original height and y be the length of the shadow
when x = 7 y= 2
x= ? y = 11
by cross multiplication we have
7×11= 2x
x= 77/2 = 38.5
Answered by
0
Answer:
length of pole = 7 foot (length )
cast shadow = 4 feet ( base)
Hypotenus = AB^2 = AC^2+ BC^2
= 7^2 + 4^2
= 49 + 16
= √65 feet
= 8.06 feet
Now, shadow of tree = 13 feet
hypotenuse. = 8.06 feet
length = AB^2 = AC^2 + BC^2
8.06^2 = y^2 + 13^2
64.9636 = y^2 + 169
64.9636 - 196 = y^2
104.0364 = y^2
√104.0364 = y
10.199. = y
Step-by-step explanation:
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