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marysya [2.9K]
3 years ago
14

A 13 foot ladder is leaning against a wall. If the point where the ladder meets the wall is 12 feet above the ground, how far fr

om the base of the wall is the ladder

Mathematics
2 answers:
pashok25 [27]3 years ago
7 0


5 feet bc...

12^2 + B^2 = 13^2

Klio2033 [76]3 years ago
5 0

Answer:

The distance of  the base of the wall to the ladder is 5 Feet .

Step-by-step explanation:

As given

A 13 foot ladder is leaning against a wall.

If the point where the ladder meets the wall is 12 feet above the ground.

As shown in the figure given below.

Now by using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

AB² = AC² + BC²

As

AB = 13 foot

AC = 12 foot

Put in the above

13² = 12² + BC²

169 = 144 + BC²

BC² = 169 - 144

BC = \sqrt{25}

BC = 5 Feet

Therefore the distance of  the base of the wall to the ladder is 5 Feet .



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