Answer:
24.33 feet
Step-by-step explanation:
The flower bed, the ladder and the house form a right angled triangle where the length of the ladder is the hypotenuse side.
Let L = length of ladder, H = height of house = 24 feet and l = length of flower bed = 4 feet.
Using Pythagoras' theorem,
L² = H² + l²
So, L = √(H² + l²)
substituting the values of the variables, we have
L = √[(24 ft)² + (4 ft)²]
L = √[576 ft² + 16 ft²]
L = √[592 ft²]
L = 24.33 ft
The ladder must be at least 24.33 feet long to reach the top and be out of the flower bed
