# Slope of track

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.

Correct result:

s1 =  4.09
s2 =  0.2344 °

#### Solution:

${s}_{2}=\frac{18{0}^{\circ }}{\pi }\cdot \mathrm{arctan}\left(\frac{y}{x}\right)=\frac{18{0}^{\circ }}{\pi }\cdot \mathrm{arctan}\left(\frac{45}{10999.908}\right)=0.234{4}^{\circ }={0}^{\circ }1{4}^{\mathrm{\prime }}4\mathrm{"}$ We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! Tips to related online calculators
Do you want to convert length units?

#### You need to know the following knowledge to solve this word math problem:

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

## Next similar math problems:

• 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. Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
• Railway Railway line had on 5.8 km segment climb 9 permille. How many meters track ascent?
• Map - climb On the map of High Tatras in scale 1:11000 are cable car stations in the Tatranska Lomnica and in the Skalnate Pleso with distance 354.6 mm. Altitude of this stations are 949 m and 1760 m. What is average angle of climb of this cable car track? 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?
• Slope of the pool Calculate slope (rise:run) of the bottom of the swimming pool long 30 m. Water depth at beginning of the pool is 1.13 m (for children) and depth at the end is 1.84 m (for swimmers). Slope express as percentage and as the angle in degrees.
• Cablecar Funicular on Petrin (Prague) was 408 meters long and overcomes the difference 106 meters in altitude. Calculate the angle of climb.
• Mountain railway 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.
• Rail turn The curve radius on the railway line is 532 m . Length of rail track on it is 818 m. How many degrees is the angle ASB, if A and B are boundary points and S is center of arc curve. What is the slope of a ladder 6.2 m long and 5.12 m in height.
• Vertical rod The vertical one meter long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long at the same time.
• What percentage What percentage of the Earth’s surface is seen by an astronaut from a height of h = 350 km. Take the Earth as a sphere with the radius R = 6370 km
• Two aircraft Two planes fly to the airport. At some point, the first airplane is away from the airport 98 km and the second 138 km. The first aircraft flies at an average speed of 420 km/h, the second average speed is 360 km/h, while the tracks of both planes are perp
• Height difference What height difference overcome if we pass road 1 km long with a pitch21 per mille?
• SSA and geometry The distance between the points P and Q was 356 m measured in the terrain. The PQ line can be seen from the viewer at a viewing angle of 107° 22 '. The observer's distance from P is 271 m. Determine the viewing angle of P and observer. Road sign informs the gradient is 10.3%. Calculate the angle which average decreases. From the observatory 11 m high and 24 m from the riverbank, river width appears in the visual angle φ = 13°. Calculate the width of the river.