A ladder 25 feet long is leaning against a wall the bottom of the latter is 4 feet from the base of the wall how far up is the is the top of the ladder round to the nearest 10th if necessary

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.