A flight control tower in the shape of a hyperboloid has hyperbolic cross sections perpendicular to the ground. Placing the origin at the bottom and center of the tower, the center of a hyperbolic cross section is (0, 30) with one focus at (15V10, 30) and one vertex at (15, 30). All units are in feet. 120 ft (0, 30) a. Write an equation of a hyperbolic cross section through the origin. Assume that there are no restrictions on x or y. b. Determine the diameter of the tower at the base. Round to the nearest foot. C. Determine the diameter of the tower at the top. Round to the nearest foot.
A flight control tower in the shape of a hyperboloid has hyperbolic cross sections perpendicular to the ground. Placing the origin at the bottom and center of the tower, the center of a hyperbolic cross section is (0, 30) with one focus at (15V10, 30) and one vertex at (15, 30). All units are in feet. 120 ft (0, 30) a. Write an equation of a hyperbolic cross section through the origin. Assume that there are no restrictions on x or y. b. Determine the diameter of the tower at the base. Round to the nearest foot. C. Determine the diameter of the tower at the top. Round to the nearest foot.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 59E
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