Textbook Problem 1 views Bridge Design A cable of a suspension bridge is suspended (in the shape of a parabola) between two towers that are 120 meters apart and 20 meters above the roadway (see figure). The cable touches the roadway midway between the towers. Find an equation for the parabolic shape of the cable. Parabolic supporting cable (60, 20) To determine To calculate: Equation for the parabolic shape of the cable when thecable of the suspension bridge is suspended between two towers which are 120 m apart and 20 m above from the roadway. Explanation of Solution Given: Two towers which are 120m apart and 20m above from the roadway. Refer to figure in question. Calculation: Here the distance between the two towers is 120m; i.e., the point(60,20) satisfies the parabolic equation x? = 4py (because it is a U-shaped parabola). Substituting the point(60, 20) in the above equation of the parabola, we have → 3600 = 4p × 20 > 4p = 180 Therefore the equation of the parabola is given by x? = 180y. E Chapter 10.1, Problem 64E Chapter 10.1, Problem 66E →>
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How would you find the length of this cable in meters?
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