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.

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

21.4 i did it already for s1

step-by-step explanation:

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew