<span>For this case by similarity of triangles we have the following relationship:</span>
<span> (q) / (5) = (24) / (10)</span>
<span> Rewriting we have:</span>
<span> q = ((24) / (10)) * 5</span>
<span> Simplifying we have:</span>
<span> q = ((24) / (2))</span>
<span> q = 12</span>
<span> Answer:</span>
<span> The value of q is:</span>
<span> <span>q = 12</span></span>