3. Suspension bridges are known to be normal around the world, especially in developed countries. These bridges usually have towers of some sort and cables, both of which have great importance in the integral stability of the bridge. A STEM Student makes some plans for his project on a suspension bridge model. He first tries to draw his model. The two tow- ers are 12 meters high and 20 meters apart (10 meters away each from the origin in the center), and the cable he drew between and from the top of the two towers are of course, parabolic. The lowest point of the cable is 3 meters above the origin. He shows this model to his teacher, and the teacher asks him, “What is the vertical distance from the road to the cable at 5 meters away from the center?" What is the answer to the teacher's question?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Suspension bridges are known to be normal around the world, especially in developed
countries. These bridges usually have towers of some sort and cables, both of which have
great importance in the integral stability of the bridge. A STEM Student makes some plans
for his project on a suspension bridge model. He first tries to draw his model. The two tow-
ers are 12 meters high and 20 meters apart (10 meters away each from the origin in the
center), and the cable he drew between and from the top of the two towers are of course,
parabolic. The lowest point of the cable is 3 meters above the origin. He shows this model
to his teacher, and the teacher asks him, “What is the vertical distance from the road to
the cable at 5 meters away from the center?" What is the answer to the teacher's question?
Transcribed Image Text:3. Suspension bridges are known to be normal around the world, especially in developed countries. These bridges usually have towers of some sort and cables, both of which have great importance in the integral stability of the bridge. A STEM Student makes some plans for his project on a suspension bridge model. He first tries to draw his model. The two tow- ers are 12 meters high and 20 meters apart (10 meters away each from the origin in the center), and the cable he drew between and from the top of the two towers are of course, parabolic. The lowest point of the cable is 3 meters above the origin. He shows this model to his teacher, and the teacher asks him, “What is the vertical distance from the road to the cable at 5 meters away from the center?" What is the answer to the teacher's question?
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