Question 14982: A 10 foot plank is used to brace a basement wall during construction of a home. the plank is nailed to the wall 6 feet above the floor the slope of the plank is ??.
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! The board forms a right triangle, where the board itself is the hypotenuse, and the legs will be the sides of the right triangle which are 6 and x, the unknown side on the floor between where the board reaches the floor and the wall.
If you are familiar with the special right triangle whose sides are 3, 4, 5, or any multiple thereof, then you are familiar with a right triangle whose sides are double these numbers: 6, 8, 10, so the unknown side is 8 feet.
If you are NOT familiar with these special triangles, then you solve the equation
x=8 feet.
Either way, the unknown side of the right triangle is 8 feet.
Now, the slope is the rise over the run, where rise is 6 feet, and the run is 8 feet. Therefore the slope is
R^2 at SCC
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