Question

Bob is building a swing set on a flat surface. The legs of the swing set are about 120 inches long. The distance between the legs on the ground is 82 inches. The horizontal support bar is 36 inches long and parallel to the ground. How far from the top along the legs should bob attach the horizontal support bar? Round the answer to the the nearest tenth

Answer 1

Bob should attach the horizontal support bar about 110.5 inches from the top along the legs.

Step-by-step explanation:

To determine how far from the top along the legs Bob should attach the horizontal support bar, we can use the Pythagorean theorem. The distance between the legs on the ground forms the base of a right triangle, with the length of each leg as the other two sides. We can calculate the height of the triangle using the Pythagorean theorem: h^2 = leg^2 - (distance/2)^2. Plugging in the values given, we have h^2 = 120^2 - (82/2)^2. Solving for h, we find h ≈ 110.5 inches. Therefore, Bob should attach the horizontal support bar about 110.5 inches from the top along the legs.