II.Open-ended problems.21. Two lines intersect each other in a circular plane with an equation x2 + y² + 4x-6y = 12.%3DThese lines exactly intersect at the center of the circle and forms a region which looks like apie slice called a sector. Line 1 and 2 have y-intercepts of 9 and 4, respectively. Determinethe area of the sector formed by the intersection of said lines.(Note: The area of the sector is calculated as A =360°tr2, where 0 is the angle between theintersecting lines in degrees)22. A natural draft cooling tower, shown in the figure, is in the shape of a hyperbola with anx2equation(30)2y2:1. The tower is 150 m tall and the distance from the top of the(44)2tower to the center of the hyperbola (refer to figure) is half the distance from the base of thetower to the center of the hyperbola. What are the diameters of the top and base of thetower?150m

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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