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What is the width of the pool?

What is the width of the pool?-example-1

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Answer:

249 feet

Explanation:

Hello!

Let the missing side be x.

We can use a trigonometric ratio to solve this question. The one we are going to use is Tangent.

There are 3 trigonometric ratios: Sin (Opposite/Hypotenuse), Cos (adjacent/hypotenuse), and Tan(Opposite/Adjacent).

We need to use the ratio that involves the 2 sides, 144 and x. That would be Tan, as x is opposite to 60°, and 144 is adjacent to 60°.

Solve for x:

  • tan(60) = x/144
  • tan(60) * 144 = x => Plug tan(60) into a calculator, and multiply the result by 144.
  • 249.415... = x
  • x ≈249

The missing side is 249 feet.

User Rohan Orton
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