Question 30
TrigonometryA ladder 5cm long rests against a wall such that its foot makes an angle 30° with the horizontal. How far is the foot of the ladder from the wall?
- A.5√2/3 m
- B.2½m
- C.5√3/2 m
- D.10√3/3 m
- E.10√3m
Show the answer and explanation
Answer: C (5√3/2 m)
Explanation
The ladder is the hypotenuse. Distance from wall = 5 × cos 30° = 5 × √3/2 = 5√3/2 m.