Final answer:
No, the goat cannot graze up to a 180-degree angle due to the confinement of the rope tied at the corner of two perpendicular walls.
Step-by-step explanation:
No, the goat cannot graze up to a 180-degree angle.
When the goat is tied with a 10-meter rope at the corner of two perpendicular walls, it can only move along the perimeter of a quarter circle with a radius of 10 meters. The maximum angle that the goat can reach while grazing is 90 degrees, which is one-quarter of a full circle.
If the goat were tied with a longer rope, it would be able to graze a larger angle. Similarly, if the distance between the walls was shorter, the maximum angle that the goat can reach would also be smaller.