Giovanny Toral-Gomez is standing 118 feet from the base of the Washington Monument. He measures the angle of elevation from the ground to the top of the monument to be 78° Find the height h of the Washington Monument to the nearest foot.

We can use the tangent function to find the height of the Washington Monument.
Let h be the height of the Washington Monument. The tangent of the angle of elevation is defined as the opposite side over the adjacent side.
We have:
\tan(78^\circ) = \frac{h}{118}
Solving for h:
h=118\cdot\tan(78^{\circ})\approx555\text{feet}
Therefore, the height of the Washington Monument is approximately \boxed{555\,\text{feet}} .