SOLUTION: A room measures 6m x 8m x 3m. What is the length of the longest pole you could fit into the room and what angle does it fit with the floor?

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Question 1047326: A room measures 6m x 8m x 3m. What is the length of the longest pole you could fit into the room and what angle does it fit with the floor?
Answer by ikleyn(52781) About Me  (Show Source):
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A room measures 6m x 8m x 3m. What is the length of the longest pole you could fit into the room and what angle does it fit with the floor?
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sqrt%286%5E2+%2B+8%5E2+%2B+3%5E2%29 = sqrt%28109%29.

tan%28alpha%29 = 3%2Fsqrt%286%5E2+%2B+8%5E2%29 = 3%2F10.

alpha = arctan(3/10).