Chapter 9, Problem 6P

The position s of the slider as a function of $\theta$ in the crank-slider mechanism shown is given by:

$s=L_1=\cos \theta +\sqrt{L_2^2-{(L_1\sin \theta -h^2)}^2}$

Given $L_1$ =5 in., $L_2$ -=8 in., and h=1.5 in., determine the angle $\theta$ , when s=9 in. (There are two solutions.)