Ladder

8.3 meters long ladder is leaning against the wall of the well, and its lower end is 1.2 meters from this wall.

How high from the bottom of a well is the top edge of the ladder?

Result

x =  8.21 m

Solution:

8.32=x2+1.22 x2=8.321.22=67.45 x=67.45=8.21 m8.3^2 = x^2 + 1.2^2 \ \\ x^2 = 8.3^2 - 1.2^2 = 67.45 \ \\ x = \sqrt{ 67.45 } = 8.21 \ \text{m}

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