Answer:
At-least 30 m
Step-by-step explanation:
Solution:-
- Taking the length of the ladder = L
- The width of the moat surrounding the castle, w = 18 m
- The height of the castle wall, h = 24 m
- To model a situation we will draw a right angle triangle with hypotenuse denoting the Ladder with "L" over the moat against the wall of the castle.
The perpendicular dimension will denote the height " h " of the castle wall.
The base over which the ladder must extend horizontal parallel to moat of width " w ".
- Using pythagorean theorem we can determine the length of the ladder " L ", as follows:
L^2 = h^2 + w^2
L^2 = 24^2 + 18^2
L^2 = 576 + 324
L = √900
L = 30 m
Answer: The minimum length of the ladder must be 30 m for the enemy to cross over the moat on top of the wall of the castle.
