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A surveyor is 980 feet from the base of the world's tallest fountain at Fountain Hills, Arizona. The angle of elevation to the top of the column of water is 29.7 degrees. His angle measuring device is at the same level as the base of the fountain. Find the height of the column of water to the nearest 10 feet.

User Robinho
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To find the height of the column of water in the Fountain Hills fountain, we can use the tangent function and the information given in the problem. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle. In this case, we can use the angle of elevation to the top of the fountain, the distance from the surveyor to the base of the fountain, and the height of the column of water to form a right triangle.

We can then use the tangent function to find the height of the column of water as follows:

tan(29.7°) = opposite/adjacent

opposite = tan(29.7°) * adjacent

opposite = tan(29.7°) * 980 feet

opposite = 0.56 * 980 feet

opposite = 548.8 feet

Therefore, the height of the column of water in the Fountain Hills fountain is approximately 549 feet. To the nearest 10 feet, this is 550 feet.

User Yunti
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