You may have thought that, because the lengths of the two sides are involved, and they are opposite and adjacent to the $\displaystyle{{40}}^{\circ}\usepackage{cmbright}\Huge\$ angle, that somehow tangent was involved in the answer. However, tangent is not useful in this problem, because it would give you a ratio with the two variables. Instead, you need to use cosine to find x and sine to find y:

$\displaystyle{{\cos{{40}}}}^{\circ}=\frac{{x}}{{100}}\usepackage{cmbright}\Huge\$ and $\displaystyle{{\sin{{40}}}}^{\circ}=\frac{{y}}{{100}}\usepackage{cmbright}\Huge\$

Solve for x and y, add the results and use a calculator to get a numerical value.