Math, asked by adenijicomfort79, 5 hours ago

A ladder leaning against a vertical wall is 11.28high up against the wall. The foot of the ladder is 5m from the wall. calculate the length of the ladder please guys answer

Answers

Answered by Anonymous

Given:

✰ Height of a vertical wall = 11.28 m

✰ Foot of the ladder from the wall = 5 m

To find:

✠ The length of the ladder.

Solution:

Let's understand the concept first!

Here in this question first we will assume the length of the ladder as x, the height of a vertical wall and the foot of the ladder from the wall as BC and AC respectively,
then by using the Pythagoras theorem which states that the square of hypotenuse is equal to the sum of squares of perpendicular and base.
Thus, using Pythagoras theorem and doing the required calculations, we will find the value of x which is equal to the length of the ladder.

Let's find out...✧

By using Pythagoras theorem,

➤ H² = P² + B²

Here,

H is the length of the ladder, which we need to find i.e, x.
P is the height of a vertical wall, i.e, BC.
B is the foot of the ladder from the wall i.e, AC

➤ AB² = BC² + AC²

➤ x² = 11.28² + 5²

➤ x² = 127.24 + 25

➤ x² = 152.24

➤ x = √152.24

➤ x ≈ 12.34 m

∴ The length of the ladder ≈ 12.34 m

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Answered by halivorfrancis

The length of the ladder is 11.5 m

FIRSTLY ;

We can solve this problem using Pythagoras theorem and Pythagoras theorem states that,

Square of the hypoteneuse = sum of the square on the other two sides.

with the diagram our hypoteneuse = is the length of our ladder which is not given any length .

HENCE;

We can find the other two sides by squaring the hypoteneuse.

So, LET;

/AC/= HYPOTENEUSE

/BC/ and /AB/ = the other two sides

FURTHERMORE

we can put it in an equation form as said earlier;

Thus;

/AC/ squared = / BC/ + /AB/ all squared

replacing the values, you will find an equation which will involve making your /AC/ the subject by taking the square of /AC/ and taking it with the sum of the two sides .