Question

The top end of a ladder touches the wall of a building at a height of 24 m and the other end of the ladder touches the ground 7 m away from the wall of the building. What is the length of the ladder?

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Answer 1

Here this question can be solved by Pythagoras theorem . As we know wall is always perpendicular to the ground .so it makes 90° angle.

Answer is 25 m

Answer 2

The length of the ladder is 25 m

Explanation:

Given that the top end of the ladder touches the wall of a building at a height of 24 m and the other end of the ladder touches the ground 7 m away from the wall of the building.

We need to determine the length of the ladder.

Let AB denote the height of the building and $AB=24$

Let BC denote the distance of the ladder from the building and $BC=7$

Let AC denote the length of the ladder.

Using the Pythagorean theorem, we have,

$AB^2+BC^2=AC^2$

     $24^2+7^2=AC^2$

     $576+49=AC^2$

             $625=AC^2$

               $25=AC$

Thus, the length of the ladder is 25 m

Learn more:

(1) A ladder 6 m long leaned against a wall . The ladder reaches the wall to a height of 4.8 m. Find the distance between the wall and the foot of the ladder.

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(2) A 10 m long ladder is placed against a wall of a building . the foot of the ladder is 6 m away from the bottom of the building . how high against the wall does the ladder reach ?

brainly.in/question/1385571