Answer:
The answer to your question is 24.7 ft
Step-by-step explanation:
Data
length of the ladder = 25 ft
distance from the ladder to the ladder = 4 ft
distance from the floor to the ladder = ?
Process
1.- Use the Pythagorean theorem to solve this problem
c² = a² + b²
- solve for b
b² = c² - a²
-Substitution
b² = (25)² - (4)²
-Simplification
b² = 625 - 16
b² = 609
-Result
b = 24.67 ft ≈ 24.7 ft
-Conclusion
The ladder is 24.7 ft from the floor.
Answer: the top of the ladder is 24.7 ft from the ground.
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height,h from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine the the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
25² = h² + 4²
625 = h² + 16
h² = 625 - 16 = 609
h = √609
h = 24.7 ft
