The bottom of a ladder must be placed 3 feet from a wall. the ladder is 10 feet long. how far above the ground does the ladder touch the wall?

9. 539 feet

Step-by-step explanation:

Given ; opp = x adj =3 hyp = 10

Using the pythagoras theorem

opp^2 + adj^2 = hyp^2

x^2 + 3^2 = 10^2

x^2 + 9 = 100

subtract 9 from bothside

x^2 + 9-9 = 100 -9

x ^2 = 91

take the square root of bothside

x = √(91)

x= 9.539

Therefore the distance of the ladder above the ground is 9.539