Unit conversion of Length Problems - page 50 of 52
Number of problems found: 1023
- Rail turn
The curve radius on a railway line is 532 m. The length of the rail track along this curve is 818 m. What is the angle ASB in degrees, where A and B are the endpoints of the curve and S is the centre of the arc? - Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°. - River
Calculate the average gradient in per mille of river Hudson, given that along a 952 km section the water flows from 1231 m above sea level down to 131 m above sea level. - Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out? - Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon. - Car - simple
A car is travelling at 77 km per hour. What distance does it cover in 1 minute? - Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density? - Garden
How many steps of 64 cm each are needed to walk around the perimeter of a square garden with an area of 1.5 ha? - Rainfall
The average annual rainfall in our country is 619 mm. How many m³ of water falls on average per hectare? - Trunk
Calculate the length of the longest fishing rod that can be placed in a car boot with dimensions 152 × 82 × 81 cm. - Box
Calculate the angle between the base of a cuboid with dimensions 5 × 10 and its space diagonal of length 13. - Gold wire
A wire of length 1.4 km was drawn from one gram of gold. What is its diameter if the density of gold is ρ = 19.5 g/cm³? - Minute angle
Find the angle swept by the minute hand of a clock in 30 minutes. - Clock
How far does the tip of a clock's second hand travel in day, if the second hand is 15 mm long? - Earth parallel
The Earth's radius is 6377 km. Calculate the circumference of the parallel at latitude 75°. - Track arc
Two straight railway tracks meet at an angle of 126°. They are joined by a circular arc with radius r = 1110 m. How long is the connecting arc (L)? How far is the centre of the arc from the intersection of the tracks (x)? - Tourist
Tourists walk at 4.2 km/h. They take a 10-minute break every 6 km. How many kilometres did they walk if they started at 4:40 and finished at 21:40? - Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in the pipeline. The residential house has 223 m of hot water pipelines 1" and the hot water has a price of 14.6 Eur/m³. - Sphere slices
Calculate the volume and surface area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is v = 21 cm. - Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg?
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