To calculate: The distances x for which the arch is above the road.
Answer to Problem 45E
The arch is above the road from 55.213 meters from pylon to 447.156 meters from the same pylon.
Explanation of Solution
Given information:
The model of the arch:
Distance from the left pylons = x meters
Height of the arch above the water:
Formula used:
Perimeter of a rectangle:
Perimeter of a rectangle is
Area of the rectangle:
Area of a rectangle is
Calculation:
The given model of the arch is
The height of the arch above the water is
Substitute 52 for y in the given equation.
Solve the above equation using the quadratic formula
Substitute 0.00211 for a , −1.06 for b and 52 for c in the above formula.
Solve for x .
And,
Hence, the arch is above the road from 55.213 meters from pylon to 447.156 meters from the same pylon.
Chapter 3 Solutions
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