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A pole casting a shadow 49 feet long with an angle of elevation of the sun of 44.8 degrees is 50 feet tall. (47.98 rounded to two places)

Tangent (theta) = opposite / adjacent

Tangent (44.9) = X / 49

X = 47.98

This does not take into account the curvature of the earth, but the error in this example is inconsequential, specifically an elevation error of about 0.015 percent.

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Q: A lamp pole casts a shadow 49 feet long when the angle of elevation of the sun is 44.8 degrees Find the height of the lamp pole?
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