Question

In the roof design below, the lower support beam, A, is 38 feet. The vertical support beam, B, is 33 feet. The two beams meet at a right angle. What is the minimum length necessary for the angled support beam, C?

Answer 1

Therefore, the minimum length necessary for the angled support beam, C, is approximately 50.33 feet.

Explanation:

Using the Pythagorean theorem, we can solve for the length of the angled support beam, C.

C^2 = A^2 + B^2

C^2 = 38^2 + 33^2

C^2 = 1444 + 1089

C^2 = 2533

C = sqrt(2533)

C ≈ 50.33 feet

Therefore, the minimum length necessary for the angled support beam, C, is approximately 50.33 feet.