Thursday, October 29, 2009

Here's the answer to yesterday's word problem!



Picture from Castles.org

Here is the answer, as explained by Dierdre and Thomas on the Mango Math Facebook page:

Dierdre:  At any of the four outer corners of the moat, the distance from the shore to the castle will be approx. 14 yards. The knight can take one of his planks, and lay it on the diagonal connecting the two outer sides of the moats and making a little isoceles triangle with the plank being the longest side -- the two adjacent sides of the moat the isoceles sides and the vertex being the point where the two adjacent moat sides meet. Then, he can take the other plank, and lay it perpendicular on the first plank and then across over to the castle side. The farthest the first plank can be out from the edge of the corner would be five feet -- that would give him enough space to use his second plank to bridge the space from the plank's edge to the corner.

Thomas:  Actually you could go out from the corner as much as 6 yards. The distance from the board to the corner or the castle would then be about 6 yards and the 9 1/2 yard plank would be more than long enough.

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