Question

please answer asap i used all my points for this:(
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 289 minus quantity y minus 70 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number
answer choices are 34,62,69, or 80

Answer 1

The width of the cooling tower is 80 meters

Ellipse

The standard form of an ellipse is:

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} =1$

Where (h, k) is the center of the ellipse, 2a is the major axis and 2b is the minor axis.

Given the equation:

$\frac{x^2}{289} + \frac{(y-70)^2}{1600} =1\\\\\frac{x^2}{17^2} + \frac{(y-70)^2}{40^2} =1$

The width of the cooling tower = 2(40) = 80 meters

The width of the cooling tower is 80 meters

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