Solve the problem.
-An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers
Are both 12.25 inches tall and stand 70 inches apart. Find the vertical distance from the roadway to the
Cable at a point on the road 17.5 inches from the lowest point of the cable.
A)3.06 in.
B)12.25 in.
C)3.26 in.
D)2.86 in.

Question

Quizplus · Accepted Answer

The problem describes a scenario that can be modeled using the properties of a parabola. The cable forms a parabola with its vertex at the lowest point between the towers. Given the distance between the towers and their height, we can determine the parabola's equation or directly calculate the vertical distance at a specific point using principles of parabolic shapes. The correct calculation results in a vertical distance of 3.06 inches from the roadway to the cable at the specified point.

Solve the Problem. -An Experimental Model for a Suspension Bridge Is Built. in Is