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Student's Solutions Manual for College Algebra
Roof Trusses The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a 100 -pound force is applied at the peak of the truss, then the forces or weights $W_{1}$ and $W_{2}$ exerted parallel to each rafter of the truss are determined by the following linear system of equations.
$$ \begin{array}{c} \frac{\sqrt{3}}{2}\left(W_{1}+W_{2}\right)=100 \\ W_{1}-W_{2}=0 \end{array} $$
Solve the system to find $W_{1}$ and $W_{2}$