Answer
$2.42m$
Work Step by Step
We know that
$\Sigma F_x=0$
$\implies -ABcos\theta+100=0$.....eq(1)
and $\Sigma F_y=0$
$\implies ABsin\theta-20(9.8)=0$...eq(2)
Dividing eq(2) by eq(1), we obtain:
$tan\theta=\frac{196.2}{100}$
Solve for $\theta$ by using inverse tangent:
$\theta=63$
Now $2tan\theta=d+1.5$
This simplifies to:
$d=2.42m$
