Solve the problem.
-An experimental model for a suspension bridge is built in the shape of a parabolic arch. 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 9 inches tall and stand 60 inches apart. At some point along the road from the lowest
Point of the cable, the cable is 0.81 inches above the roadway. Find the distance between that point and the base
Of the nearest tower.
A) 21.2 in.
B) 9.2 in.
C) 21 in.
D) 8.8 in.

Question

Quizplus · Accepted Answer

The parabola can be modeled with the equation $ y = a(x - h)^2 + k $, where the vertex is at the lowest point of the cable. Given the towers are 9 inches tall and 60 inches apart, the vertex is at (30, 0). Solving for when the cable is 0.81 inches above the roadway, we find the distance to be approximately 21 inches from the nearest tower.

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