Question

Mr. Moore is building a wooden swing set for his two boys Melvin and Erick. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart should the footings for each A-frame be?

Answer 1

To obtain how far apart the footings should be

Let's represent the Base footing with C

We can then apply the cosine rule to obtain C

`\begin{gathered} co\sin e\text{ Rule} \\ C^2=a^2+b^2\text{ - 2ab Cos }\phi \end{gathered}`

Comparing Fig 1 and Fig 2.