2D and 3D Trig Word Problems

From a point in the ocean, the angle of elevation to the top of the cliff is 30º. From a point 350 meters further (from the first point), the angle of elevation to the top of the cliff is 27º. How high is the cliff?

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meters

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In parallelogram ABCD, the lengths of the sides are 30 cm and 72 cm. If the longer diagonal is 85 cm, determine the height of the parallelogram. Round your final answer to the nearest tenths of a centimeter.

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cm

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Given the diagram, AC is perpendicular to AD. The length of AC is 74.6 m. Angle A is 56.7° and angle C is 49.1°. Determine the length of BD, to the nearest meter.

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m

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In Great Pyramid of Cheops at Giza, Egypt has a square base with the side length of 755 feet. The angle of elevation of one triangular face is 52°. Determine the measure of the angle between the height of the pyramid and one of the edges where two triangular faces meet. Round to the nearest tenths of a degree.

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°

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