Question

H(x)=0.000371(x

Answer 1

The height of the towers above the ground is 152 meters.

Procedure - Determination of the height of the towers in the Golden Gate Bridge

The expanded form of the function is $h(x) = 0.000371\cdot x^{2}-0.47488\cdot x + 152$, a

quick though reasonable approach consists in evaluating the function for $x = 0$, that is, the horizontal distance with respect to the left tower to determine the height of the each tower of the Golden Gate Bridge.

If we know that $x = 0\,m$, then the height of the towers is:

$h(0) = 152\,m$

The height of the towers above the ground is 152 meters. $\blacksquare$

Remark

The statement is poorly formatted. Correct form is presented below:

The Golden Gate Bridge is a suspension bridge that consists of two cables hung from two towers of equal height that are 1280 meters apart. The function $h(x) = 0.000371\cdot (x^{2}-1280\cdot x) + 152$ models the height of each cable above the ground in meters, as it relates to the cable horizontal distance from the left tower in meters. What is the height of the towers in meters?

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