A ladder $10$ m long leans against a wall, with its foot $6$ m from the base of the wall. How high does it…

A ladder $10$ m long leans against a wall, with its foot $6$ m from the base of the wall. How high does it reach on the wall?
  1. $8$ m
  2. $6$ m
  3. $4$ m
  4. $10$ m

Solution

Height $= \sqrt{10^{2} - 6^{2}} = \sqrt{100 - 36} = \sqrt{64} = 8$ m.

Asked in: IMO

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