Answer:
11.18 feet
Step-by-step explanation:
This is a pythagorean theorem problem. You should draw a ladder as a diagonal line with the top resting on a vertical line (the wall) an the bottom on a horizontal line (the ground. Then the ground and the wall should connect to make a right tiangle.
The ladder is the c in a^2+b^2=c^2, and the wall and ground can be either. I am going to call the wall b which will make the ground a. So now we have
a^2 + b^2 = c^2
a^2 + 10^2 = 15^2
a^2 + 100 = 225
a^2 = 125
[tex]\sqrt{a^{2} } = \sqrt{125}[/tex]
a = 11.18