Piece of wood width 1 sits over a square tile through opposite corners (see pic)
What proportion of the area of the tile is covered by the wood?
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OpenStudy (anonymous):
|dw:1350379170293:dw|
OpenStudy (anonymous):
Bad drawing, u probably should do your own.....:-)
OpenStudy (anonymous):
If u can see it opposite edges of the wood are aligned with corners of tile.
OpenStudy (anonymous):
|dw:1350379418357:dw|
OpenStudy (anonymous):
@JamesWolf U should be practicing your Python!:-)
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OpenStudy (anonymous):
That pic is not correct, the edges are aligned with the corners, not in the middle...
OpenStudy (anonymous):
so a is the angle between the middle of the wood and the side of the square which is 90/2 = 45. the bottom of that triangle has length 1/2. we need to find b. then you can do "length of square" - b = side of triangle|dw:1350379684247:dw|
OpenStudy (anonymous):
righttt sorry
OpenStudy (anonymous):
opposite corners, yes i should be doing python! stupid python
OpenStudy (anonymous):
:-)
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OpenStudy (anonymous):
i think |dw:1350379781386:dw|
is the same as |dw:1350379796776:dw|