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Excavator Operator Certification Exam Prep · Question

A heavy excavator weighing 30,000 kg is being loaded onto a float trailer. The trailer manufacturer specifies a maximum ramp angle of 15 degrees. If the trailer deck height is 1.2 metres, what is the minimum ramp length required to maintain this angle?

Using trigonometry, the sine of the angle equals the opposite side (height) divided by the hypotenuse (length). So, sin(15°) = 1.2 m / length. Rearranging, leng

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Question: A heavy excavator weighing 30,000 kg is being loaded onto a float trailer. The trailer manufacturer specifies a maximum ramp angle of 15 degrees. If the trailer deck height is 1.2 metres, what is the minimum ramp length required to maintain this angle?

Answer options: ✅ Approximately 4.63 metres

  • Approximately 2.89 metres
  • Approximately 1.2 metres
  • Approximately 0.3 metres

Correct answer: Approximately 4.63 metres

Explanation: Using trigonometry, the sine of the angle equals the opposite side (height) divided by the hypotenuse (length). So, sin(15°) = 1.2 m / length. Rearranging, length = 1.2 m / sin(15°) = 1.2 m / 0.2588 ≈ 4.63 metres. This ensures the ramp angle does not exceed the manufacturer's specification.

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