Question

A ladder 10 m long was rested along a wall such that its top reaches to a height of 8 m from the ground along the wall. How far is the foot of the ladder from wall ?

Answer 1

Using pyth. thm

$8 {}^ {2} + {x}^{2} = {10}^{2} \\ 64 + {x}^{2} = 100 \\ {x}^{2} = 100 - 64 \\ {x}^{2} = 36 \\ x = \sqrt{36} \\ x = 6$