Answered

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Ray is a contractor that needs to access his clients roof in order access whether the roof needs to be replaced. He sees that he can access a portion of the roof that is 15 feet from the ground. He has ladder that is 20 feet long.

Sagot :

MrRoyal

Answer:

The ladder will be 13.23 feet from the wall

Step-by-step explanation:

Given

[tex]L = 20ft[/tex] -- Length of ladder

[tex]H = 15ft[/tex] --- height of the wall

Required

The distance of the ladder

The ladder forms a right triangle with the wall and the length is the hypotenuse.

So, we make use o Pythagoras theorem.

[tex]L^2 = H^2 + B^2[/tex]

Where

B is the base distance

So, we have:

[tex]20^2 = 15^2 + B^2[/tex]

[tex]400 = 225 + B^2[/tex]

Collect and solve like terms

[tex]B^2 = 175[/tex]

Square noth sides

[tex]B=13.23[/tex]

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