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?
A
\(\frac{5\sqrt{2}}{3}m\)
B
\(2\frac{1}{2}m\)
C
\(\frac{5\sqrt{3}}{2}m\)
D
\(\frac{10\sqrt{3}}{3}m\)
E
\(10\sqrt{3}m\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
cos 30 = \(\frac{adj}{hyp}\)
cross multiply:
adj = cos 30 X 5
= 5 \(\frac{\sqrt3}{2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #26352)