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Rachael is 5 ft 6 in tall . She notices that her shadow is 4 ft long and the shadow of a nearby water tower is 100 ft long . What is the height of the water tower?

Verified Answer :

christinann062

5.5/4=x/100
4x=550
x=137.5

the water tower is 137 ft. 6 in. tall.

abidemiokin

The height of the water tower is 72.72 feet

In order to get the height of the tower, we will use the similarity theorem of a triangle

Given the follwing

  • heieght of rachel = 5ft 6in = 5.5ft
  • height of her shadow = 4ft
  • Height of tower = 100ft

To get the height of the water tower, we will use the relationship;

5.5/4 = 100/x

5.5x = 400

x = 400/5.5

x = 72.72

Hence the height of the water tower is 72.72 feet

Learn more on similar triangle here: https://brainly.com/question/18784617

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