Final answer:
The height up the wall that the ladder reaches is approximately 21.15 feet.
Step-by-step explanation:
To find the height up the wall that the ladder reaches, we can use trigonometry.
The height can be found using the sine function, which relates the opposite side (the height) to the hypotenuse (the ladder).
In this case, the opposite side is the height up the wall and the hypotenuse is the ladder.
So, we can use the equation: height = ladder length * sin(angle).
Substituting the given values, we get:
height = 22 ft * sin(74°).
height = 21.147 or
height = 21.15 feet.