Question

The foot of a ladder is placed 7 meters from a wall. If the top of the ladder rests 9 meters up on the wall, how long is the ladder?

Answer 1

The ladder is 11 m long approximately .

Explanation:

Given :The foot of a ladder is placed 7 meters from a wall.

To Find :If the top of the ladder rests 9 meters up on the wall, how long is the ladder?

Solution :

The foot of a ladder is placed 7 meters from a wall.

Base = 7 m

The top of the ladder rests 9 meters up on the wall

So, height at which ladder touches wall i.e. perpendicular = 9 m

We are supposed to find how long is the ladder i.e. Hypotenuse

`Hypotenuse^2 = Perpendicular^2 +Base^2`

`Hypotenuse^2 =9^2 +7^2`

`Hypotenuse =√(9^2 +7^2)`

`Hypotenuse =11.40175`

Hence The ladder is 11 m long approximately .

Answer 2

We can find the length of the ladder by squaring the known digits, adding them, and finding the square root of the sum. This would mean our first equation, after squaring, will look like this:

49+81=130

Now that we have c squared, we can go through and find the approximate square root, which is 11.4. That would mean the ladder is 11.4 meters long.