Algebra Equations Worksheets With Answer Keys Page 17
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20Chapter 5
17
9. Two towers of equal height are spaced 366 feet apart. A cable suspended between the two
⎛
x
⎞
=
+
forms a centenary whose height above the ground is given by
f x
( ) 125cosh
100
⎜
⎟
⎝
250
⎠
x =
where
0
at the point on the ground halfway between the two towers.
(a) What is the height of each tower (rounded to the nearest foot)?
(b) What is the average height of the cable?
(c) At the point where the height of the cable is equal to the average height of the cable and the
cable is rising, what is the slope of the cable?
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