The angle of elevation of a ladder against a wall is 45°. The length of the ladder is 12 m. What is the distance between the wall and the foot of the ladder?
Answer & explanation
Correct answer: option 2
⇒ cos \({45}^\circ\) = \(\frac{BC}{12}\)
⇒ \(\frac{1}{√2}\) = \(\frac{BC}{12}\)
⇒ BC = \(\frac{12}{√2}\) = 6\(\sqrt {2 }\)m.
Therefore, the distance between the wall and the foot of the ladder is 6\(\sqrt {2 }\)m.