Question

What height on the wall will a 15 foot ladder reach if it is placed 3.5 feet from the base of the wall...???

Answer 1

14.6

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Answer 2

14.6 feet

Explanation:

Let the height of the ladder be the hypotenuse, the distance from the wall be the base and the height till the ladder reaches be the perpendicular.

Using Pythogoras theorem,

H^2 = p^2+b^2

p^2 = H^2-b^2

p = under root(H^2-b^2)

p = under root(225 - 12.25)

p = 14.6 feet