To cover a 14 in.x 17 ft field at 40 ft, a ____-degree target angle is required.

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To find the target angle, we need to use trigonometry, specifically the tangent function, which relates angles to the ratio of the opposite side over the adjacent side in a right-angled triangle. The field's dimensions are given in two different units, inches and feet, so we first convert them to the same unit. Assuming the 14 inches is meant to be 14 feet (since mixing inches and feet for the dimensions of a field seems like a typo or misunderstanding), we have a field 14 feet by 17 feet, and the distance to cover is 40 feet. The target angle can be calculated using the arctan function (inverse of tangent), which gives the angle whose tangent is the ratio of the opposite side (the length or width of the field) to the adjacent side (the distance from the field). Without specific details on whether the 14 feet or the 17 feet side is facing the target point, we'll calculate the angle for both and choose the one that fits the options given.For a 14 feet side:$$ \theta = \arctan\left(\frac{14}{40}\right) \approx 19.29^\circ $$For a 17 feet side:$$ \theta = \arctan\left(\frac{17}{40}\right) \approx 22.62^\circ $$Neither of these calculations directly matches the provided options, suggesting a misunderstanding in the question's setup or a mistake in the calculation based on the given information. Given the options and assuming a straightforward calculation error or misinterpretation, none of the provided angles (3, 5, 7, 12 degrees) directly result from a typical trigonometric calculation based on the given dimensions and distance. Therefore, a reevaluation of the question's details or assumptions might be necessary.

To Cover a 14 In