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giovanny toral gomez is standing 118 feet from the base of the washington monument he measures the angle of elevation from

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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.

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Answer to a math question 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.

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110 Answers

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}}

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