Final answer:
The angle at which the pipe meets the ground is 53.71°.
Step-by-step explanation:
To find the angle at which the pipe meets the ground, we can use trigonometry. Since the ladder is 12 feet long and forms a 56.4° angle with the ground, we can use the sine function. Sine(angle) = opposite/hypotenuse. In this case, the opposite side is the height of the pipe, and the hypotenuse is the length of the ladder.
Height of the pipe = length of the ladder * sine(angle) = 12 * sine(56.4°) = 9.9163 feet.
Therefore, the angle at which the pipe meets the ground is arctan(height of the pipe/7) = arctan(9.9163/7) = 53.71° (rounded to two decimal places).