A ladder 12 m long rests against a wall. If it reaches the wall at a height of 63 m, then the angle
of elevation is
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Answer:
Distance between the wall and the foot of the ladder = 6 m
Step-by-step explanation:
Correct Question : A ladder 12 m long rests against a wall.if it reaches the wall at a height of 6√3 ,then what is the distance between the wall and the foot of the ladder?
Let,
AC be the ladder of length 12 m.
AB be the wall such that AB = 6√3 m
In ΔABC,
AC² = AB² + BC² [Pythagoras theorem]
⇒ (12)² = (6√3)² + BC²
⇒ BC² = 144 − 108
⇒ BC² = 36
⇒ BC = 6 m
So,
Distance between the wall and the foot of the ladder = 6 m
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