<p><span style="color:#27ae60;"><span style="font-size:20px;">Solving the Problem</span></span></p>
<p>We are told that the height of each pole is proportional to the length of its shadow, so we can figure out what this proportion is by finding the ratio of the shadow length to the height, with the first pole.</p>
<p><img alt="" src="https://gregmatapi.s3.amazonaws.com/media/misc/files/class_pp1-shorter-quant-section-2-easy-q9.png" style="width: 500px; height: 282px;" /></p>
<p>$Shadow:Height = 8:12 = 2:3$</p>
<p>We can apply the same ratio to the second pole to find its height since we have the shadow length.</p>
<p>$Shadow:Height = 2:3 = 10:(Height\,of\,second\,pole)$</p>
<p>So, the height of the second pole should be $\frac{10}{2}*3 = 15$</p>
<p>So, the correct answer will be <span style="color:#27ae60;">D</span>.</p>