Answer:
Length of the ladder = 9.5 feet
Explanation:
Point A of ladder AC is at 9 ft from the ground and point C is 3 feet from the base of the wall,
AB = 9 feet
BC = 3 feet
By applying Pythagoras theorem in the right triangle,
AC² = AB² + BC²
AC² = 9² + 3²
AC² = 81 + 9
AC = √90
= 9.486 feet
≈ 9.5 feet
Therefore, length of the ladder is 9.5 feet.