A ladder 41 m41 m long just reaches the top of a building 40 m40 m high from the ground. Find the distance of the foot of the ladder from the building.

A B C 40 cm 41 cm


Answer:

9 m9 m

Step by Step Explanation:
  1. Let ABAB be the building and CBCB be the ladder.
    Then, AB=40 mAB=40 m, CB=41 mCB=41 m and CAB=90CAB=90.
  2. By pythagoras' theorem, we have CB2=AB2+AC2AC2=CB2AB2=[(41)2(40)2] m2=(16811600) m2=81 m2AC=81 m2=9 m Hence, the distance of the foot of the ladder from the building is 9 m.

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