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1. A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally. The distance between two towers is 150 meters, the point of support of the cable on the towers are 22 meters above the roadway, and the lowest point on the cable is 7 meters above the roadway. Find the vertical distance to the cable from a point in the roadway 15 meters from the foot of the tower.

1. A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally. The distance between two towers is 150 meters, the point of support of the cable on the towers are 22 meters above the roadway, and the lowest point on the cable is 7 meters above the roadway. Find the vertical distance to the cable from a point in the roadway 15 meters from the foot of the tower.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
Problem 42PS
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1. A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally. The distance between two towers is 150 meters, the point of support of the cable on the towers are 22 meters above the roadway, and the lowest point on the cable is 7 meters above the roadway. Find the vertical distance to the cable from a point in the roadway 15 meters from the foot of the tower. 2. In order to hear what is said in a football huddle, a listening device is set up on the sideline. It consists of a parabolic dish with a microphone at its focus. The dish is 4 feet across and 16 inches deep. Give an equation for the parabola with vertex at the origin and the parabola, opening to the right. At what point should the microphone be placed? (answer should be in inches) 3. The earth moves in an elliptic orbit about the sun, with the sun at one focus. The least and greatest distances of the earth from the sun are 91,446,000 miles and 94,560,000 miles respectively. How long are the major and minor axes?
Transcribed Image Text:1. A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally. The distance between two towers is 150 meters, the point of support of the cable on the towers are 22 meters above the roadway, and the lowest point on the cable is 7 meters above the roadway. Find the vertical distance to the cable from a point in the roadway 15 meters from the foot of the tower. 2. In order to hear what is said in a football huddle, a listening device is set up on the sideline. It consists of a parabolic dish with a microphone at its focus. The dish is 4 feet across and 16 inches deep. Give an equation for the parabola with vertex at the origin and the parabola, opening to the right. At what point should the microphone be placed? (answer should be in inches) 3. The earth moves in an elliptic orbit about the sun, with the sun at one focus. The least and greatest distances of the earth from the sun are 91,446,000 miles and 94,560,000 miles respectively. How long are the major and minor axes?
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