A ladder is resting against a wall, The angle between the foot of the ladder and the wall is $45^\circ$ and the foot of the ladder is 6.6 m away from the wall. The length of the ladder(in m)is:

$6.6 \times \sqrt{2}$

⇒ cos\({45}^\circ\) = \(\frac{6.6}{AC}\)

⇒ \(\frac{1}{√2}\) = \(\frac{6.6}{AC}\)

⇒ AC = 6.6 x \(\sqrt {2 }\)

Therefore, length of ladder is 6.6 x \(\sqrt {2 }\)