- #1

zaddyzad

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## Homework Statement

An arch is the shape of a hyperbola. IF it s 300m wide at its base and has a maximum height of 100m, how high is the arch 30m from the end ?

Note: this is a rectangular hyperbola.

## Homework Equations

(y-h)^2 - x^2 = a

## The Attempt at a Solution

I determined the verticies is (0,0) and there are two points (-150,-100), (150,100) I also know that there must be a vertical translation for the centre to be higher than (0,0).

But what I can figure out is how to solve for h and a using two different coordinates. If someone could help me with the algebra that'd be awesome.