Mathematics: Mr. Norman is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 15 feet high. The base of the ladder is 8 feet away from the house, where Mr. Norman s son is holding it steady. How long is the ladder? feet

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Mr. Norman is leaning a ladder against the side of

goosenar

20.01.2022

The ladder is 17 feet long

Step-by-step explanation:

Let

a ----> the height of the root in feet

b ----> the horizontal distance of the base of the ladder from the house in feet

we have

$a=15\ ft\\b=8\ ft$

To find out the how long is the ladder apply the Pythagorean Theorem

Let

c ---> the length of the ladder

c^2=a^2+b^2

where

c is the greater side (hypotenuse)

a and b are the legs

substitute the given values

c^2=15^2+8^2

$c^2=289\\c=17\ ft$

therefore

The ladder is 17 feet long

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