Question 67455: The length and width of the floor of a room are each 10 meters. The height is 3 meters. A fly on the ceiling in a corner, sees a crumb on floor in the corner diagonally oppostite. If the crumb does not move, what is the shortest distance the fly can travel to reach the crumb, to the nearsest tenth of a meter?
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website! First, take the box apart and lay it flat on the table (or draw the box):
Next, put the fly its corner and the crumb in its corner.
Now, draw a straight line between the fly and the crumb (shortest distance).
When you do this, you will have a right triangle with a base of 10 meters and a height of 13 meters. The fly must crawl along the hypotenuse of this triangle which is:
10^2+13^2=(Distance fly travels)^2
100+169=(Distance fly travels)^2
269=(Distance fly travels)^2 Take sqrt of both sides:
16.4 meters=Distance fly travels----------------------ans
I would be interested in knowing the source document for this problem---thanks
Hope this helps-----ptaylor
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