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
2 answers:
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 = 5 Feet
Therefore the distance of the base of the wall to the ladder is 5 Feet .
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