Arctangent - practice problems - last page

Number of problems found: 85

  • Glass of juice
    The glass of juice-shaped cylinder 13 cm height and base diameter of 9 cm is filled with juice so that the level is 3 cm below the rim of the glass. Determine the maximum angle of the cup that we can tilt so the juice doesn't overflow.
  • Descent of road
    The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases.
  • Road
    Between cities, A and B is a route 9 km long of average 9‰ klesanie. Calculate the height difference between cities A and B.
  • Cube - angles
    Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base.
  • Slope of track
    Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Horná štubňa (624 m AMSL) if the track is 37 km long.
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