Final answer:
The height up the wall that the ladder reaches is approximately 19.49 feet.
Step-by-step explanation:
To find the height up the wall that the ladder reaches, we can use trigonometry. Since we know the length of the ladder (22 feet) and the angle it makes with the ground (65°), we can use the sine function.
sin(65°) = height of ladder / length of ladder
height of ladder = sin(65°) * length of ladder
height of ladder = sin(65°) * 22 feet
Using a calculator, we find that the height of the ladder reaches approximately 19.49 feet up the wall.