Question

ryan is building a ramp so he can easily move things in and out of an overhead storage area in his garage. the storage area is 8 feet off the ground, and ryan has 15 feet of space along the ground to build the ramp.
what is the length of the ramp ryan will build?

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 8\), \(b=15\), and \(c\) is the length of the hypotenuse (ramp).
Substitute values: \(8^{2}+15^{2}=c^{2}\).
Calculate squares: \(64 + 225=c^{2}\).

Step2: Sum and find square root

Sum: \(289=c^{2}\).
Take square root: \(c=\sqrt{289}\).
Since \(\sqrt{289}=17\).

Answer:

17 feet