The Shape of a Rope Bridge Stretched Across a Ravine

question 77

Essay

The shape of a rope bridge stretched across a ravine can be described by the function
where y is the height of the bridge (in feet)above the bottom of the ravine and x is the horizontal distance (in feet)from the center of the ravine.A hiker traveling at night shines his flashlight across the ravine,and the path of the beam of light can be described by the function
Where does the beam of light intersect the rope bridge? Use a graphing calculator to answer the question by finding the point(s)of intersection of the two equations.

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