Answer:
17.0 ft
Step-by-step explanation:
Let h be the height of the base of the window from the ground, L be the length of the ladder = 18 ft and d be the distance of the ladder from the wall = 6 ft. Now, these three lengths form a right-angled triangle with the length of the ladder, L as the hypotenuse side.
So, using Pythagoras' theorem,
L² = h² + d²
So, h = √(L² - d²)
Substituting the values of L = 18 ft and d = 6 ft, we have
h = √((18 ft)² - (6 ft)²)
= √(324 ft² - 36 ft²)
= √288 ft²
= 16.97 ft
≅ 17.0 ft