$\"\"$

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Two sightings are taken $\"\"$ distance from the base of the mountain.

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Angle of elevation to the bottom of the Lincoln $\"\"$ s face is $\"\"$ .

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Angle of elevation to the top is $\"\"$ .

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Draw the diagram for situation in the problem:

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$\"\"$

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Here $\"\"$ represents the height of the Lincoln $\"\"$ s face and

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$\"\"$ represents the height of the mountain.

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From the figure,

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Consider $\"\"$

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$\"\"$

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Substitute $\"\"$ in the above expression.

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$\"\"$

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$\"\"$ .

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Thus, the height of the Lincoln $\"\"$ s face is $\"\"$ .

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$\"\"$

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Height of the Lincoln $\"\"$ s face is $\"\"$ .