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Trigonometry
Question

Solve the following problems and show your solution.

1. The angle of elevation to the top of a flagpole is $$40^{\circ}$$ from a point $$30$$ m away from the base of the pole. How high is the flagpole to the nearest meter?

2. How high is the building whose horizontal shadow is $$60$$ m when the angle of elevation of the sun is $$58^{\circ}12^{\prime}$$? Give the answer to the nearest hundredths.

$$25$$ meters
$$77.35$$ meters