2002 AMC 12P Problems/Problem 9
Problem
Two walls and the ceiling of a room meet at right angles at point A fly is in the air one meter from one wall, eight meters from the other wall, and nine meters from point . How many meters is the fly from the ceiling?
Solution
We can use the formula for the diagonal of the rectangle, or The problem gives us and Solving gives us $\sqrt{1^2 + 8^2 + c^2}=9 \implies c^2=9^2-8^2-1^2 \implies c^2=16 \implies c=\boxed{\textbf{(D) } 4.$ (Error compiling LaTeX. Unknown error_msg) Two walls and the ceiling of a room meet at right angles at point A fly is in the air one meter from one wall, eight meters from the other wall, and nine meters from point . How many meters is the fly from the ceiling?
See also
2002 AMC 12P (Problems • Answer Key • Resources) | |
Preceded by Problem 8 |
Followed by Problem 10 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
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