A25-foot25−foot ladder is placed against a building. the bottom of the ladder is 77 feet from the building. if the top of the ladder slips down 44 feet, how many feet will the bottom slip?

The bottom of ladder slip to 8 feet.

Step-by-step explanation:

Here is the given length or distance in question after avoiding typo error,

Length of ladder (h) = 25 ft

Ladder distance from building () = 7 ft

The top of ladder slip down to 4 ft

Let p be the height of building.

Now, using Pythagoras  formula to solve it

Next putting the value in the formula

⇒

∴ Height of building (p) =

As ladder slip down to 4 ft

∴ Now, the height from top of ladder to bottom of building =

Let be the base of ladder from building

Again using Pythagoras  formula,

∴

Now, we have the distance of base of ladder from building after slip is 15 ft.

Next step is to find length of bottom of ladder further slip.

⇒ Bottom of ladder slip =

∴ Bottom of ladder slip =

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.