Answered

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A ladder is leaning against the side of a building. The
ladder is 12 feet away from the building and the
ladder is 20 feet long. Find the distance from the
base of the building to the point the ladder touches
the wall.

Sagot :

asaseugene

Answer:

16 ft

Step-by-step explanation:

Based on the situation above, it forms into a right triangle. Therefore we can apply the Pythagorean Theorem. We will use the formula below:

c = √( a² + b²)

In the problem above, the ladder acts as the hypotenuse denoted by c. It has a length of 20 ft. While the base denoted by b is 12 ft. Therefore, we need to solve for a. We will derive the formula above.

c² = a² + b²

a² = c² - b²

a = √( c² - b² )

a = √( 20² - 12² )

a = 16

The unit is in ft.

Correct me if I'm wrong. I hope it helps.

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