Answers

2015-06-17T10:28:11+05:30
Let height of room = x feet
dimension of floor = 24 feet × 48 feet

space diagonal = 58 feet

\sqrt{ x^{2} +24^2 + 48^2}=58\\ \\ \Rightarrow x^{2} +24^2 + 48^2=58^2\\ \\ \Rightarrow x^{2} +576 + 2304=3364\\ \\ \Rightarrow x^{2} =3364-576 - 2304=484\\ \\ \Rightarrow x= \sqrt{484}=22\ feet

Height of room is 22 feet.
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