The figure below shows a 39-inch ramp that is attacked to a deck. How high is the deck if the base of the ramp is 36 inches from the deck

15 inches

Step-by-step explanation:

1. Use the Pythagorean Theorem: a^2+b^2=c^2

You are already given c (the longest side) and one of the legs which could be a or b.

2. Plug the numbers into the formula and square them.

a^2 + 36^2 = 39^2

Squaring the numbers gives you: a^2 + 1,296 = 1,521

3. Subtract 1,296 from both sides and take the square root of the result.

a^2 = 225

= 15