# Right triangle + per mil - math problems

#### Number of problems found: 14 Road sign informs the gradient is 10.9%. Calculate the angle which average decreases.
• Climb For horizontal distance 4.2 km road rise by 6.3 m. Calculate the road pitch in ‰ (permille, parts per thousand).
• Height difference What height difference overcome if we pass road 1 km long with a pitch21 per mille?
• Cable car Find the elevation difference of the cable car when it rises by 67 per mille and the rope length is 930 m.
• Railways Railways climb 7.4 ‰. Calculate the height difference between two points on the railway distant 3539 meters. Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
• Lift The largest angle at which the lift rises is 16°31'. Give climb angle in permille.
• Railway Railway line had on 5.8 km segment climb 9 permille. How many meters track ascent?
• 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.
• Railway Between points A, B, whose horizontal distance is 1.5 km railway line has 8promile climb. Between points B, C with horizontal distance of 900 m is climb 14promile. Calculate differences of altitudes between points A and C.
• Climb in percentage 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.
• 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.
• 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.

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