Question

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 400 minus quantity y minus 110 end quantity squared over 2304 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.
100 meters
50 meters
48 meters
40 meters

Answer 1

The width of the cooling tower at the base of the structure is 40 meters.

Width of the cooling tower

Given equation

x²/400 -(y-90)²/1600=1

Solving for the width

Cooling tower width =2√400

Cooling tower width=2×20

Cooling tower width=40 meters

Therefore the correct option is D. 40 meters.

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