Answer
$23cm$
Work Step by Step
We know that
$\theta=\frac{27}{2}=13.5^{\circ}$
Now we can find the required distance as follows:
$tan\theta=\frac{y}{d}$
We plug in the known values to obtain:
$tan 13.5^{\circ}=\frac{5.5cm}{d}$
This simplifies to:
$d=23cm$