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To calculate: The distances x for which the arch is above the road.
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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
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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