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In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.

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