A ladder 10 m long rests against a vertical wall making an angle of 30° with the wall. How high up (in m) does it reach the wall from the ground? (Take $\sqrt{3} = 1.73$)
Answer & explanation
Correct answer: option 1
⇒ cos \({30}^\circ\) = \(\frac{AB}{AC}\)
⇒ \(\frac{√3}{2}\) = \(\frac{AB}{10}\)
⇒ AB = \(\frac{10√3}{2}\) = 5\(\sqrt {3 }\) = 8.65m.
Therefore, the ladder reach the wall from the ground at 8.65m.