SOLUTION: Hi, this is my question as found in the text book: "A rectangular classroom is 8m wide, 15 m long, and 3 m high. Determine the inclination of the main (longest) diagonal of the c

Algebra ->  Algebra  -> Points-lines-and-rays -> SOLUTION: Hi, this is my question as found in the text book: "A rectangular classroom is 8m wide, 15 m long, and 3 m high. Determine the inclination of the main (longest) diagonal of the c      Log On

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Question 198827: Hi, this is my question as found in the text book:
"A rectangular classroom is 8m wide, 15 m long, and 3 m high. Determine the inclination of the main (longest) diagonal of the classroom."
I am not sure how to determine the inclination of the diagonal, please help!
Thank you! :)

Answer by nerdybill(5413) About Me  (Show Source):
You can put this solution on YOUR website!
First, draw a figure/diagram of the problem --it'll help you see the solution.
.
Begin by determining the diagonal of the floor: (Pythagorean)
8^2 + 15^2 = f^2
8^2 + 15^2 = f^2
64 + 225 = f^2
289 = f^2
sqrt%28289%29 = f
.
Now, determine the "diagonal of the classroom" using the height and 'f' above:
sqrt%28289%29^2 + 3^2 = d^2
289 + 9 = d^2
298 = d^2
sqrt%28298%29 = d
17.26 meters = d