Consider the equation $10\sin(\frac{\pi}{2}(x-5))+24=20$.

1. Solve the equation for the smallest positive value of $x$ (in radians). If you are having trouble getting started, let $u = \frac { \pi } { 2 } ( x - 5 )$.

   Steps (a):

   Substituting '$u$' into the equation:
   $10\sin\left(u\right)+24=20$
   $10\sin\left(u\right)=−4$

   $\text{sin}(u)=-\frac{4}{10}$

   Using a calculator, $u ≈ −0.4115$.
   Substitute back to solve for $x$.

2. Graph $y=10\sin(\frac{\pi}{2}(x-5))+24$ and $y = 20$ on a graphing calculator. Use the symmetry of the graph to determine the next positive value of $x$ where $10\sin(\frac{\pi}{2}(x-5))+24=20$.