Tommy and Erin are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long.
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Answer:
Full question is attached.
Tommy's reasoning is wrong because the hypotenuse is not 5 feet.
A skateboard ramp resembles a right angles triangle so its sides resemble that of a right angled triangle.
The height of 3 feet would be the height of the triangle.
The length of 5 feet would be the length of the triangle.
The piece of plywood that would cover the top of the frame would be the hypotenuse.
In using the Pythagoras rule, the c is the hypotenuse but Tommy made the mistake of assuming that the hypotenuse was b which is where the error came from.
Instead of solving for b, they should have been solving for c which is the hypotenuse.
a² + b² = c²
3² + 5² = c²
9 + 25 = c²
c² = 34
c = √34
c = 5.83 feet
They should use a plywood of 5.83 feet not 4 feet.
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