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?

Answer: 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