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A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height of the water tower?

1 Answer

12 votes

Answer:

28.5 feet

Explanation:

A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height of the water tower?

The formula is given as:

Height of the tower/Shadow of the tower = Height of the tree/Shadow of the tree

Let the Height of the tower = x

Hence:

x/24 = 9.5/8

Cross Multiply

8x = 24 × 9.5

x = 24 × 9.5/8

x = 28.5 feet

Therefore, the height of the water tower is 28.5 feet

User Obecalp
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