A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is

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Assam ADRE SLRC 2022 Paper IV
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  1. 10 m
  2. 17.32 m
  3. 8.16 m
  4. 13 m

Answer (Detailed Solution Below)

Option 1 : 10 m
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Detailed Solution

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Given:

Length of ladder (L) = 20 m

Angle with ground (θ) = 30°

Height of the point the ladder touches the wall (h) = ?

Formula used:

\(h = L \times \sin(θ)\)

Calculations:

\(h = L \times \sin(θ)\)

\(h = 20 \times \sin(30°)\)

\(h = 20 \times 0.5\)

⇒ h = 10 m

∴ The correct answer is option (1).

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