MathDB
A Fly in a Box

Source:

April 2, 2013
geometry3D geometryprism

Problem Statement

Two walls and the ceiling of a room meet at right angles at point PP. A fly is in the air one meter from one wall, eight meters from the other wall, and 99 meters from point PP. How many meters is the fly from the ceiling?
<spanclass=latexbold>(A)</span>13<spanclass=latexbold>(B)</span>14<spanclass=latexbold>(C)</span>15<spanclass=latexbold>(D)</span>4<spanclass=latexbold>(E)</span>17<span class='latex-bold'>(A) </span>\sqrt{13}\qquad<span class='latex-bold'>(B) </span>\sqrt{14}\qquad<span class='latex-bold'>(C) </span>\sqrt{15}\qquad<span class='latex-bold'>(D) </span>4\qquad<span class='latex-bold'>(E) </span>\sqrt{17}