Question

Tommy and Erin are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. Tommy thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.

A)Why is Tommy's reasoning incorrect? Explain.
B) How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Show your work.
C) Erin’s parents bought a 10 foot piece of plywood for her and tommy to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem.
Please answer all parts I really need the answer to these questions.

Answer 1

C

Explanation:

Answer 2

The answer is below

Explanation:

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b, length be a and height be c Hence:

b² = a² + c²

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

B) The plywood needs to be 5.83 feet long

C) Since the top of the ramp is 10 feet, let us assume the height of the ramp to be 6 feet, hence, the length of the ramp a is:

10² = a² + 6²

100 = a² + 36

a² = 64

a = 8 feet