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A museum has a famous statue on display. The curator places the statue in the corner of a rectangular room and builds a 15-foot-long railing in front of the statue. Use the information below to find how close visitors will be able to get to the statue.

A museum has a famous statue on display. The curator places the statue in the corner-example-1

2 Answers

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7.2 ft

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User RayofCommand
by
4.3k points
2 votes

Answer:

  • 7.2 ft

Explanation:

We can see that the triangle formed is right triangle.

Let's verify:

  • 12² + 9² = 144 + 81 = 225
  • 15² = 225
  • confirmed

We have similar triangles and the ratios of corresponding sides are:

  • x/9 = 12/15
  • x = 12*9/15
  • x = 7.2 ft

The visitors can have a closest distance of 7.2 ft

User Santanu C
by
3.4k points