SOLUTION: will be able.

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Question 1011678: will be able.
Found 2 solutions by josgarithmetic, Freezie:
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
(FIXED EARLIER MISTAKE)

Place the triangle on a cartesian system with the right angle of the room's corner at the origin. The railing fits on a line, y=-%283%2F4%29x-9. The segment length labeled, "x" , is on the line y=%284%2F3%29x, maybe now a bad choice of naming for variables, perpendicular to the railing.

Find the other endpoint of "x"; which is the intersection point of y=-%283%2F4%29x-9 and y=%284%2F3%29x.
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4x%2F3=-%283%2F4%29x-9
4x%2F3%2B%283%2F4%29x=-9
Multiply L&R by 12.
16x%2B9x=-9%2A12
25x=-72
highlight_green%28x=-72%2F25%29
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y=%284%2F3%29%28-72%2F25%29
y=%28-4%2A24%29%2F25
highlight_green%28y=-96%2F25%29
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Intersection point is ( -72/25, -96/25 ).
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Final task is USE THE DISTANCE FORMULA to find distance between (0,0) and ( -72/25, -96/25 ).

Answer by Freezie(16) About Me  (Show Source):