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Answered

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A cooling tower is 120 meters tall. The sides of the tower are in the shape of a hyperbola defined by the equation x^2/500 - y^2/900 = 1 with units in meters. The center of the tower is at the origin. How wide is the tower at the top?
50 m
92 m
100 m
184 m

Sagot :

Answer:

c (100)

Step-by-step explanation:

on edg 2021 ^u^

The width of the tower at the top will be 92 m. Then the correct option is B.

What is a hyperbola?

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

A cooling tower is 120 meters tall.

The sides of the tower are in the shape of a hyperbola defined by the equation x²/500 – y²/900 = 1 with units in meters.

The center of the tower is at the origin.

Then the width of the tower at the top will be

x²/500 – (120)²/900 = 1

x²/500 – 14400/900 = 1

              x²/500 – 16 = 1

                      x²/500 = 1 + 16

                      x²/500 = 17

                              x² = 8500

                                x = 92.19 ≈ 92 m

Then the correct option is B.

More about the hyperbola link is given below.

https://brainly.com/question/12919612

#SPJ2

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