Question 406632
The ladder , ground & the wall form a right triangle.

the ladder is the hypotenuse.

leg1^2+leg2^2=Hypotenuse^2
5^2+leg2^2=10^2
25+leg2^2=100
leg2^2=100-25
leg2^2=75
leg2 = sqrt75
leg 2= 8.7 feet the height of the wall