## Trigonometry (10th Edition)

$R=\frac{v^{2}}{g(f + tan\theta)}$ A larger value of $\theta$ will lead to larger value of $\tan\theta$. As $\tan\theta$ increases, then the ratio R will decrease. Thus radius can be smaller anf curve sharper if $\theta$ will increase $R_1 =\frac{66^{2}}{32.2(0.14 + tan 4^{\circ})} = 644ft$ $\lt703ft$ $R_2 =\frac{102.67^{2}}{32.2(0.14 + tan 4^{\circ})} = 1559ft$ $\lt1701ft$