Question 1133893
A right triangle is formed with one leg of 7 ft and the hypotenuse being 13 ft.


Use the Pythagorean Theorem to find the length of the other leg.


Pythagorean Theorem
a² + b² = c²
a and b are the legs
c is the hypotenuse


7² + b² = 13²   {substituted into Pythagorean Theorem}
49 + b² = 169   {evaluated exponents}
b² = 120   {subtracted 49 from each side}
b = √120   {took square root of each side}
b ≈ 10.95


Distance from bottom of ladder to wall is approximately 10.95 ft.
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