Question

a skateboarder uses this ramp to practice her jumps. what is the height y of the ramp? 28.2 in. 19.4 in. 24 in. 20 in. 14.1 in.

Explanation:

Step1: Identify the triangle type

The ramp forms a right - triangle, where the hypotenuse \(c = 101\) in, one leg \(a=99\) in, and the other leg \(y\) (height) we need to find. We use the Pythagorean theorem \(a^{2}+y^{2}=c^{2}\), so we can re - arrange it to \(y=\sqrt{c^{2}-a^{2}}\).

Step2: Substitute the values

Substitute \(c = 101\) and \(a = 99\) into the formula:
First, calculate \(c^{2}-a^{2}\):
\(c^{2}=101^{2}=101\times101 = 10201\)
\(a^{2}=99^{2}=99\times99 = 9801\)
Then \(c^{2}-a^{2}=10201 - 9801=400\)

Step3: Calculate \(y\)

\(y=\sqrt{400}=20\) in

Answer:

20 in