Right triangle - math word problems

  1. Triangle ABC
    ABC Right triangle ABC with right angle at the C, |BC|=18, |AB|=33. Calculate the height of the triangle hAB to the side AB.
  2. Floating barrel
    floating_barrel Barrel (cylinder shape) floats on water, top of barrel is 8 dm above water and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
  3. Kites
    drake Boys run kite on a cable of 68 meters long. What is the kite altitude, if the angle from the horizontal plane is 72°?
  4. Road
    cesta Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
  5. Circle chord
    circleChord What is the length d of the chord circle of diameter 51 mm, if the distance from the center circle is 19 mm?
  6. Square diagonal
    square_d Calculate the length of the square diagonal if the perimeter is 476 cm.
  7. Cube - angles
    cube_diagonal_1 Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
  8. Triangle SAS
    triangle_iron Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
  9. Rhombus
    rhombus Calculate the perimeter and area of ​​a rhombus whose diagonals are 39 cm and 51 cm long.
  10. Cube diagonal
    cube_diagonal Determine the length of the cube diagonal with edge 37 mm.
  11. Square and circles
    kruznica_stvorec_1 Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
  12. Ladder
    rebrik_1 Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. In which height ladder touches the wall?
  13. Right triangle Alef
    r_triangle The obvod of a right triangle is 84 cm, the hypotenuse is 37 cm long. Determine the lengths of the legs.
  14. Slope of track
    sklon_1 Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Nitrianske Pravno (354 m AMSL), if the track is 11 km long.
  15. Rotation of the Earth
    earth_1 Calculate the circumferential speed of the Earth's surface at a latitude of 61°​​. Consider a globe with a radius of 6378 km.
  16. Right triangle
    right_triangles Calculate the missing side b and interior angles, perimeter and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.
  17. Crossroads
    crossroad Passenger car and an ambulance come to the rectangular crossroad, the ambulance left. Passenger car at speed 39 km/h and ambulance at 41 km/h. Calculate such a relative speed of the ambulance move to the car.

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