Road

Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.

Correct answer:

h =  91 m

Step-by-step explanation:

s=13 km m=13 1000  m=13000 m q=7/1000=71000=0.007  A=180πarctan(q)=180πarctan(0.007)0.4011  h=s sinA=s sin0.40106390596671 =13000 sin0.40106390596671 =13000 0.007=90.99777=91 m  h1=13 7=91 m  h1h



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Our permille calculator will help you quickly calculate various typical tasks with permilles.
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Height difference
    road What height difference overcome if we pass road 1 km long with a pitch21 per mille?
  • Railway
    train Railway line had on 5.8 km segment climb 9 permille. How many meters track ascent?
  • Descent of road
    znacka_klesanie Road sign informs the gradient is 10.9%. Calculate the angle which average decreases.
  • Slope of track
    sklon 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.
  • Climb
    aircraft_ascend For horizontal distance 4.2 km road rise by 6.3 m. Calculate the road pitch in ‰ (permille, parts per thousand).
  • Road - permille
    18procent 5 km long road begins at an altitude 500 meters above sea level and ends at a altitude 521 ASL. How many permille road rises?
  • Road
    route-66 The average climb of the road is given by ratio 1:15. By what angle road average climb?
  • Mountain railway
    semmering Height difference between points A, B of railway line is 38.5 meters, their horizontal distance is 3.5 km. Determine average climb in permille up the track.
  • Climb
    Mazda_RX7 On the road sign, which informs the climb is 8.7%. The car drive 5 km along this road. What is the height difference that the car went to?
  • Cablecar
    petrin_draha Funicular on Petrin (Prague) was 408 meters long and overcomes the difference 106 meters in altitude. Calculate the angle of climb.
  • Climb in percentage
    12_percent_stupanie The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance places A, B is 7.4 km.
  • Road
    12perctent The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
  • Road drop
    atan On a straight stretch of road is marked 12 percent drop. What angle makes the direction of the road with the horizontal plane?
  • River
    kongo_river Calculate how many permille river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL.
  • Railways
    railways Railways climb 7.4 ‰. Calculate the height difference between two points on the railway distant 3539 meters.
  • Three examples per-mille
    promile A. Calculate 1.5 ‰ from 4.5 liters of blood. Express the result in milliliters. B. Calculate three ‰ from € 50,000. C. The tray they brought breakfast to the landlord's bed is made of an alloy that contains 830 ‰ of silver. How much silver did they use on
  • Two municipalities
    promile The horizontal distance between municipalities is 39 km. Average sinking is 7 per mille. What is the difference in height between these municipalities?