SOLUTION: A metal rod 4root3 m long leans in the corner of a room, making an angle of 30 degrees with the floor. If the end of the rod on the floor is 2root3 m from one wall, how far is it f

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Question 1047220: A metal rod 4root3 m long leans in the corner of a room, making an angle of 30 degrees with the floor. If the end of the rod on the floor is 2root3 m from one wall, how far is it from the other wall?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let +a+ = the distance from the end
of the rod to the corner of th room
+cos%28+30+%29+=+a%2F%28+4%2Asqrt%283%29+%29+
+%28+sqrt%283%29%2F2+%29%2A%28+4%2Asqrt%283%29+%29+=+a+
+a+=+6+
the distance to the other wall is:
+sqrt%28+6%5E2+-+%28+2%2Asqrt%283%29+%29%5E2+%29+
+sqrt%28+36+-+12+%29+
+sqrt%28+24+%29+=+2%2Asqrt%28+6+%29+
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check the math