The problem involves solving for $x$ twice using two different methods in a triangle setup. The triangle's dimensions and the specific task are outlined. Let's break it down:

Observed Information:

1. Right Triangle Setup: There is a right triangle with sides labeled:

   • Hypotenuse $c = 7$,
   • Two other sides $a$ and $b$,
   • The side labeled $x$ (likely needing solving).

2. Instructions:

   • Solve for $x$ using two different methods.
   • Show all work clearly.

3. Additional Notes:

   • Potential trigonometric relationships might be suggested (angles labeled and basic geometry).

Let me analyze and extract key details further for a step-by-step solution. Would you like me to outline or confirm some specific elements from the text (e.g., triangle properties or angle relationships)?