The height of flagpole is 49.5 feet.
Step-by-step explanation:
Given,
Shadow casted by streetlight = 2 foot
Height of streetlight = 9 feet
Ratio of shadow to height = 2:9
Shadow casted by flagpole = 11 foot
Let,
x be the height of flagpole
Ratio of shadow to height = 11:x
Using proportion
Ratio of shadow to height :: Ratio of shadow to height
[tex]2:9::11:x[/tex]
Product of mean = Product of extreme
[tex]9*11=2*x\\99=2x\\2x=99[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{99}{2}\\x=49.5[/tex]
The height of flagpole is 49.5 feet.
Keywords: ratio, proportion
Learn more about proportions at:
#LearnwithBrainly
Answer:
The height of the flagpole is 49.5 feet.
Step-by-step explanation:
Given,
Shadow cast by streetlight = 2 foot
Height of streetlight = 9 feet
The ratio of shadow to height = 2:9
Shadow cast by flagpole = 11 foot
Let,
x be the height of flagpole
Ratio of shadow to height = 11:x
Using proportion
Ratio of shadow to height:: Ratio of shadow to height
Product of mean = Product of extreme
Dividing both sides by 2
The height of flagpole is 49.5 feet.
Keywords: ratio, proportion
Learn more about proportions at:
brainly.com/question/8520610
brainly.com/question/846474
#LearnwithBrainly
Step-by-step explanation:
.
