Question:
A ladder of length 10m touches a wall at height of 5m . Find the angle made by the ladder with the horizontal
Answer:
Let AC is the ladder and AB is the wall in right angle triangle ABC.
Let θ is the angle made by the ladder from the horizontal.
Now, from triangle ABC,
sin θ = AB/AC
=> sin θ = 5/10
=> sin θ = 1/2
=> sin θ = sin 30°
=> θ = 30°
So, the angle made by the ladder from the horizontal is 30°
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