<span>By similarity of triangles we have the following relationship:</span>
<span> (t) / (22.5) = (1.5) / (4.5)</span>
<span> Clearing the value of t we have:</span>
<span> t = ((1.5) / (4.5)) * 22.5</span>
<span> Simplifying we have:</span>
<span> t = ((1) / (3)) * 22.5</span>
<span> The value of t is:</span>
<span> T = 7.5</span>
<span> Answer:</span>
<span> <span>T = 7.5</span></span>