Answer
$\theta=76^{\circ}$
$v_A=49.8$ ft/s
$h=39.7$ ft
Work Step by Step
We set up the equations as follows:
$s=v_0t$
$18=v_A\cos\theta(1.5)$
$v^2=v_0^2+2a_c(s-s_0)$
$0=(v_A\sin\theta)^2+2(-32.2)(h-3.5)$
$v=v_0+a_ct$
$0=v_A\sin\theta-32.2(1.5)$
$48.3=v_A\sin\theta$
$18=v_A\cos\theta(1.5)$
$12=v_A\cos\theta$
$48.3=v_A\sin\theta$
We solve for the angle:
$\theta=76^{\circ}$
Now, solve for velocity and height:
$v_A=49.8$ ft/s
$h=39.7$ ft