The Foot Of The Ladder Is 5m Away From A 12m High Building . Find The Length Of The Ladder Leaning Against The Wall Of The Building

the foot of the ladder is 5m away from a 12m high building . find the length of the ladder leaning against the wall of the building

 

Answer:

The length of the ladder is equal to 13 m.

Step-by-step explanation:

The ladder leaning against the wall makes a right triangle.

Where:

  • The wall height and the distance of the wall and the foot of ladder are the legs of the right triangle
  • The length of the ladder is the hypotenuse of the right triangle

In order to solve for the length of ladder, we should use Pythagorean theorem, wherein a²+b²=c²

  • a and b are the legs of the right triangle
  • c is the hypotenuse of the right triangle

Solution:

(5 m)²+(12 m)²=c²

169 m²=c²

At c² is equal to 169, then c is equal to square root of 169 or 13 m.

Therefore, the length of ladder is equal to 13 m.

For other practice questions and references, please refer to the following links:

brainly.ph/question/1562375

brainly.ph/question/2096646

brainly.ph/question/537097


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