Final answer:
To find the height the ladder reaches up the wall, we can use trigonometry. By using the sine function, we can calculate the opposite side of the right triangle formed by the ladder, the ground, and the wall. The opposite side, which represents the height up the wall, is found to be 24.52 m.
Step-by-step explanation:
To find how high up the wall the ladder reaches, we can use trigonometry. The ladder forms a right triangle with the ground and the wall. The angle formed by the ladder and the ground is given as 75°. The length of the ladder (hypotenuse) is given as 25 m. We can use the sine function to calculate the height (opposite side) of the triangle. Using the formula sin(angle) = opposite/hypotenuse, we have sin(75°) = opposite/25. Solving for the opposite side, we get:
opposite = sin(75°) * 25 = 24.52 m
Therefore, the ladder reaches a height of 24.52 m up the wall.