SOLUTION: The cables of a horizontal suspension bridge are supported by two toers 120 m apart and 40 m high. If the cable is 10 m above the floor of the bridge at the center and using the mi
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Question 1082149: The cables of a horizontal suspension bridge are supported by two toers 120 m apart and 40 m high. If the cable is 10 m above the floor of the bridge at the center and using the midpoint of the bridge as the origin. Compute the elevation of the cable 30 m from the center of the bridge.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Using the midpoint of the bridge as the origin, the cable is a graph that contains the following points, (-60,40), (0,10), and (60,40).
Since the function that describes a parabola can be written ^2\ +\ k)
where the vertex )
is known, we write:
^2\ +\ 10)
So if the point )
is on the parabola:
^2\ +\ 10\ =\ 40)
Hence the function that describes the parabola is:
Evaluate )
to get the answer to your question
John
My calculator said it, I believe it, that settles it
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