(Solved): Determine the \( x \)-component of the resulting vector if \( \vec{D}=\vec{A}+\vec{C} \). Use the ...

Determine the \( x \)-component of the resulting vector if \( \vec{D}=\vec{A}+\vec{C} \). Use the following information to solve this problem: \( |\vec{A}|=12.1 \mathrm{~m}, \theta=43^{\circ} \), and \[ |\vec{C}|=2.1 \mathrm{~m}, \psi=33^{\circ} \text {. } \] \[ D_{x}=\ldots \mathrm{m} \]