An archaelogist positions himself 260ft. from the base of a pyramid..trig question?
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tran archaelogist positions himself 260ft. from the base of a pyramid so that his eye level is 5 ft. above the ground. If the pyramid is 500ft. in height,what would the angle of the elevation from the archaelogist to the top of thte pyramid. 2) the angle of the elevation from the eye level of an archaelogist to the top of a pyramid whose base is 400 ft away is 50 degrees.to the nearest foot,what is the height of the pyramid?
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Answer:
Q1. The top of the pyramid is 495 feet above his eye level and 260 feet from his eyes in a horizontal direction. So angle of elevation = arctan (495/260) = approx. arctan(1.904) = approx. 62.29° Q2. Assuming this archaeologist's eye level is also 5 feet, the height of the pyramid = 400 tan 50° + 5 = 482 feet (to the nearest foot)
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Other answers
Q1. The top of the pyramid is 495 feet above his eye level and 260 feet from his eyes in a horizontal direction. So angle of elevation = arctan (495/260) = approx. arctan(1.904) = approx. 62.29° Q2. Assuming this archaeologist's eye level is also 5 feet, the height of the pyramid = 400 tan 50° + 5 = 482 feet (to the nearest foot)
chauncy
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