A ladder leans against a vertical wall at an angle 60° to the wall, if
MATHEMATICS
WAEC 1992
A ladder leans against a vertical wall at an angle 60° to the wall, if the foot of the ladder is 5 metres away from the wall, calculate the length of the ladder.
- A. 5√3m/3
- B. 5m
- C. 10√3m/3
- D. 5√3m
Correct Answer: C. 10√3m/3
Explanation
The ladder makes 60° inclination with the wall and its foot is 5m away from the wall.
Sketching the diagram, you will see that we have
\(sin 60 = \frac{5}{x}\) (where x is the length of the ladder)
⇒ \(x = \frac{5}{sin60}\)
\(x = \frac{10\sqrt{3}}{3}m\)
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