Question

A 26 foot ladder leans against a building. Its base is 10 feet from the base of the building. How far up the wall, in feet, will the ladder reach?​

Answer 1

Answer:

Remember, the Pythagorean Theorem is a%5E2%2Bb%5E2=c%5E2 where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.

Since the legs are x and 10 this means that a=x and b=10

Also, since the hypotenuse is 26, this means that c=26.

a%5E2%2Bb%5E2=c%5E2 Start with the Pythagorean theorem.

x%5E2%2B10%5E2=26%5E2 Plug in a=x, b=10, c=26

x%5E2%2B100=26%5E2 Square 10 to get 100.

x%5E2%2B100=676 Square 26 to get 676.

x%5E2=676-100 Subtract 100 from both sides.

x%5E2=576 Combine like terms.

x=sqrt%28576%29 Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).

x=24 Take the square root of 576 to get 24.

Step-by-step explanation:

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