SOLUTION: how do i draw a picture of or set up this problem: In a circular tent, the last row of seats are 96-ft away from a central pole that is 95-ft high. Ropes from the toopf of the pol

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Question 1067105: how do i draw a picture of or set up this problem: In a circular tent, the last row of seats are 96-ft away from a central pole that is 95-ft high. Ropes from the toopf of the pole are to sbe staked into the round in such a way that they are 49-ft above ground where the last row of seats are to be placed. At what distance from the central pole should the pole should the ropes be staked in?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
All you need to draw is the +95+ ft tall
center pole and the line from the top to
the ground. At a point +96+ ft from the
center pole drop a +49+ ft vertical line to the ground.
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Call the distance from the last row of seats to the point
where the rope is staked +d+
-------------------------------
There are similar triangles
+95+%2F+%28+96%2Bd+%29+=+49%2Fd+
Multiply both sides by +d%2A%28+96+%2B+d+%29+
+95d+=+49%2A%28+96+%2B+d+%29+
+95d+=+4704+%2B+49d+
+95d+-+49d+=+4704+
+46d+=+4704+
+d+=+102.26+
and
+96+%2B+102.26+=+198.26+
+.26%2A12+=+3.12+
The ropes should be staked 198 ft 3 inches away from center pole
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check:
+95+%2F+%28+96%2Bd+%29+=+49%2Fd+
+95+%2F+%28+96%2B102.26+%29+=+49%2F102.26+
+95+%2F+198.26+=+49%2F102.26+
+.4792+=+.4792+
OK