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A 20 m long ladder is placed against a wall such that it reaches a height of 10 m. What is the angle the ladder makes with the ground?

  • A.30°
  • B.45°
  • C.60°
  • D.75°

Answer: A

The ladder is the hypotenuse (20 m) and the height on the wall is the opposite side (10 m).

Let θ be the angle with the ground.

\(\sin \theta = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{10}{20} = \frac{1}{2}\).

The angle whose sine is 1/2 is 30°.

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