Answer:
33.8 cm
Step-by-step explanation:
You want to know a 28 cm ladder's height above a table if its base is 9 cm above the table and 13 cm away from the wall.
The Pythagorean theorem tells you the missing leg of the right triangle is ...
b = √(c² -a²) = √(28² -13²) ≈ 24.8 . . . . cm
Then the height above the table is ...
9 cm + 24.8 cm = 33.8 cm
The ladder extends to 33.8 cm above the table.