ANSWERS: 1
  • The slope, vertical drop and horizontal define a right triangle, which means you can find the answer with a trigonometric function. The angle at the end of the drop is 11 degrees, and the sloping tunnel is 80m long. The sloping tunnel is your hypotenuse, and you want the length of the vertical drop, which is opposite the 11-degree angle. What does that remind you of? Opposite/Hypotenuse ... the Sine function - in this case, sin(11 degrees). So, we have sin(11 degrees) = x / 80m, where x is the length of the vertical drop in meters. Sin(11 degrees) is approximately 0.1908; therefore, x = 0.1908 * 80m, or 15.264m (approximately).

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