A 10 m long ladder is leaning against a wall. The bottom of the ladder is 6 m from the base of where the wall meets the ground. At what height from the ground does the top of the ladder lean against the wall?
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A 10 m long ladder is leaning against a wall. The bottom of the ladder is 6 m from the base of where the wall meets the ground. At what height from the ground does the top of the ladder lean against the wall?
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The ladder makes a right triangle with the wall and the ground.
The hypothenuse of the triangle being the length of the ladder (10m). The base of the triangle being the distance between the wall and the ladder's base (6m).
So we can use pythagorean theorem to get the height.
c^2 = a^2 + b^2 [c is the hypothenuse, a is the height, b is the base]
10^2 = a^2 + 6^2
100 = a^2 + 36
a^2 = 100 - 36
a^2 = 64
a = sq rt of 64
a = 8 m