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A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the house, how tall is the ladder?

User Manicaesar
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1 Answer

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The height of the house = 10 m

Base of the ladder is 3 meters away from the house. So base = 3 m

Let us consider that it is a right angle triangle with one side 10 m and base is 3 m. So, we have to find the length of the ladder or the longest leg of the triangle. This can be found by Pythagoras theorem.

Pythagoras theorem is=
a^(2)=b^(2)+c^(2)


a^(2)=3^(2)+10^(2)

=
a^(2)=100+9

=
a^(2)=109

or a = 10.44

Hence, the length of the ladder is 10.44 meters.

Please find attached the image of the triangle. We have to find AC.

A ladder is leaning against the side of a 10m house. If the base of the ladder is-example-1
User Merelda
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