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The ladder is moved so that the base of the ladder is 5.8 feet from the wall. Determine the angle created by the ladder and the ground after the move. Round your answer to the nearest tenth of a degree.

User Krodak
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Final answer:

To find the angle between the ladder and the ground with the base 5.8 feet from the wall, trigonometry and the inverse cosine function are needed, but the ladder's length is required to calculate the angle.

Step-by-step explanation:

To determine the angle created by the ladder and the ground when the base of the ladder is 5.8 feet from the wall, one would typically use trigonometry, specifically the inverse trigonometric functions. Assuming that we have the length of the ladder, we would use the cosine function since we have the adjacent side (distance from the wall) and we are looking to find the angle between the ladder and the ground.

For example, if we had a ladder of length L, the cosine of the angle θ would be equal to the adjacent side (5.8 feet) divided by the hypotenuse (the length of the ladder). Thus, θ = cos-1(5.8 / L). However, since the length L of the ladder is not provided in the question, it's not possible to calculate the exact angle without this information.

User Trenthaynes
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