# A 2 m long ladder was leaned against a tree. At what height is its upper end located if the lower end is 1.2 m from the tree trunk?

May 31, 2020 | Education

| Ladder, tree and earth are a right triangle. The height at which the end of the stairs is located is denoted by x. Then by the Pythagorean theorem we can write 2 ^ 2 = 1,2 ^ 2 + x ^ 2. Hence, x ^ 2 = 4-1.44, x ^ 2 = 2.56, x = 1.6.

Answer: 1.6 meters.

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