Maths-
General
Easy

Question

The suspension cables from the Golden gate bridge’s towers are farther above the roadway near the towers and closer to the roadway near the middle of the bridge. You can figure out your distance from middle of the bridge, x, in feet, and height of the suspension cable, y, in feet, at your position by using the equation x = fraction numerator square root of y to the power of negative 220 end exponent end root over denominator 0.010583 end fractionAbout how far is the cable from roadway when you are 200 ft from middle of the bridge

Hint:

Rearrange the equation and then solve for y.

The correct answer is: 224.48


    Complete step by step solution:
    Here we have the equation to be x = fraction numerator square root of y minus 220 end root over denominator 0.010583 end fraction
    Where, x is the distance from middle of the bridge and y is the height of the
    suspension cable.
    Here given that x = 200 ft
    not stretchy rightwards double arrow 200 equals fraction numerator square root of y minus 220 end root over denominator 0.010583 end fraction
    On rearranging the equation, we have 200 cross times 0.010583 equals square root of y minus 220 end root
    not stretchy rightwards double arrow 2.1166 equals square root of y minus 220 end root
    On squaring both the sides, we get 4.47999556 = y - 220
    table attributes columnspacing 1em end attributes row cell not stretchy rightwards double arrow y equals 220 plus 4.47999556 end cell row cell space space space space space space space space not stretchy rightwards double arrow y equals 224.4799956 equals 224.48 end cell end table
    cable is 224.48 ft from the roadway when you are 200 ft from the middle of the bridge.

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