SOLUTION: The height of a telephone line is given by the equation h=x^2/7 +55, where h is the height of the telephone line and x is the distance from the lowest part of the line to a tel

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The height of a telephone line is given by the equation h=x^2/7 +55, where h is the height of the telephone line and x is the distance from the lowest part of the line to a tel      Log On


   

Question 1161282: The height of a telephone line is given by the equation
h=x^2/7 +55, where h is the height of the telephone line and x is the
distance from the lowest part of the line to a telephone pole. If the
line hooks onto the pole at a height of 250 feet, what is the distance
between the two poles? Give answer to the nearest hundredth.
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

x%5E2%2F7 + 55 = 250


x%5E2%2F7 = 250 - 55 = 195

x%5E2 = 195*7 = 1365

x = sqrt%281365%29 = 36.946.


It is half of the distance between the poles;  

so the whole distance between poles is 2*36.946 = 73.89 feet (rounded as requested).    ANSWER

Solved.