Unit conversion practice problems - page 84 of 123
Number of problems found: 2441
- Map - climb
On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable
- Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h.
- Horizontally 6296
The camera with a viewing angle of 120 ° was placed horizontally on the observatory at 30 m. What length d of the section at the tower's base can the camera not capture?
- Determine 67754
Adam (A) stands on one river bank, and Bedrich (B) stands on the other. To determine their distance, the base AC with a length of 136 m and the angles CAB with a size of 70°21' and ACB with a size of 43°44' were measured on one river bank. What is the dis
- Rectangular 4780
The television studio plan is made on a scale of 1:150. It shows a rectangular studio measuring 5 cm and 6 cm. If we pay 356 crowns for 1 m² of floating floor, how many crowns will we pay to cover the studio with a floating floor?
- Equilateral cylinder
A hectolitre of water will fit in an equilateral cylinder. What are its dimensions?
- An experiment
The three friends agreed to the experiment. At the same time, they all took out an empty cylindrical container on the windowsill and placed it so that it was horizontal. Everyone lives in a different village, and each uses a container with a different bot
- Consumption 69174
The tower's roof has the shape of the shell of a rotating cone with a base diameter of 4.3 m. The deviation of the side from the plane of the base is 36°. Calculate the consumption of sheet metal to cover the roof, assuming 8% for waste.
- TV transmitter
The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have
- Two cyclists
Two cyclists started crossing at the same time. One goes to the north speed of 20 km/h, the second eastward at a speed of 26 km/h. What will be the direct distance cycling 30 minutes from the start?
- Submerged 81714
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th
- Hectoliter into cube
Can 1 hl of water fit into a half-meter cube?
- Aircraft bearing
Two aircraft will depart from the airport simultaneously. The first flight flies with a course of 30°, and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight?
- Cloth / textile
We have a cloth measuring 16 square meters. How many 20 cm by 20 cm by 8 cm bags can you make? Assume the bag is a cuboid without one top base.
- Gardens colony
The garden's colony, with dimensions of 180 m and 300 m, is to be completely divided into the same large squares of the highest area. Calculate how many such squares can be obtained and determine the length of the square side.
- Pavilion
The rectangular pavilion with dimensions of 3.5 m and 2.75 m is to be paved with square tiles of side 25 cm, with a price of CZK 22 per 1 piece, or rectangular tiles with sides of 20 cm and 15 cm at the price of CZK 11 per 1 pc. Which solution is cheaper
- Difference 83079
On the traffic sign that informs about the road's gradient, the figure is 6.7%. Determine the slope angle of the path. What height difference is covered by the car that traveled 2.8 km on this road?
- Mast
The mast has 16 a long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.7°. Determine the height of the mast if the sun above the horizon is at an angle 40°48'.
- Tablecloths
The restaurant has sixty-two square tablecloths with a side length of 150 cm and 36 rectangular tablecloths with dimensions of 140 cm and 160 cm. A) How many meters of hemming ribbon will be needed if we add 50 cm to each tablecloth? B) The ribbon sale in
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