A ladder 5cm long long rest against a wall such that its foot makes an angle 30o with the horizontal. How far is the foot of the ladder from the wall?
- \(\frac{5\sqrt{2}}{3}m\)
- \(2\frac{1}{2}m\)
-
\(\frac{5\sqrt{3}}{2}m\)
- \(\frac{10\sqrt{3}}{3}m\)
- \(10\sqrt{3}m\)
The correct answer is: C
Explanation
cos 30 = \(\frac{adj}{hyp}\)
cross multiply:
adj = cos 30 X 5
= 5 \(\frac{√3}{2}\)