Sides of a nuclear power plant cooling tower form a hyperbola. the diameter of the bottom of the tower is 292 feet. the smallest diameter of the tower is 164 which is 408 feet above the ground.
the tower is 598 feet tall.
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Sides of a nuclear power plant cooling tower form a hyperbola. the diameter of the bottom of the tower is 292 feet. the smallest diameter of the tower is 164 which is 408 feet above the ground.
the tower is 598 feet tall.
Step-by-step explanation:
Step one
x² / a² - y² / b² = 1 ....(1)
The distance 2a is the smallest diameter
The diameter here is 164
2a = 164
a = 164/2
= 82
Substitute a = 82 in step one above
x² /(82)² = y²/b²
For y = -408( since it is above the ground) the value of x is :
x = ₊₋ 292/2
= 146
Substitute a = 82 y= -408 and x = ₊₋ 146
(₊₋146² ) / (82)² - (-408)² / b² = 1
21316 / 6724 - 166464/b² = 1
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