Answer:
x = 4.8 ft
Step-by-step explanation:
We can use the Pythagorean theorem to solve this right triangle. We know the hypotenuse ,12, and one of the legs, 11. We will solve for the other leg, x.
c^2 = a^2 + b^2, where c is the hypotenuse and a and b are the legs
12^2 = 11^2 + x^2
144 = 121 + x^2
Subtract 121 from each side
144-121 = 121-121 +x^2
23 = x^2
Take the square root of each side
sqrt(23) = sqrt(x^2)
sqrt(23) =x
We are only taking the positive square root since x is a length and can only be positive.
4.7959 = x
Rounding to the nearest tenth.
4.8 =x
x =4.8 ft
