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To Measure the Height of a Mountain, a Person Stands 69∘69^{\circ}

Question 36

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To measure the height of a mountain, a person stands a certain distance from the base and measures the angle of elevation to the top of the mountain. This turns out to be 69∘69^{\circ} . Moving 100ft100 \mathrm{ft} closer, the angle of elevation to the top of the mountain is 74∘74^{\circ} . How tall is the mountain? Round your answer to 2 decimal places.

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