Unit conversion of Length Problems - page 9 of 52
Number of problems found: 1023
- A man 7
A man wandering in the desert walks 3.8 miles in the direction of S 44° W. He then turns and walks 2.2 miles toward N 55° W. At that time, how far is he from his starting point? (Round your answer to two decimal places.) - A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each vertex of the rhombus if the shorter diagonal measures 7 cm. Give your answers to the nearest degree and provide clear geometric reasoning at each step. - Observatory and aircraft
The aircraft flying towards the observatory was aimed at a distance of 5300 m at an elevation angle of 28º and after 9 seconds at a distance of 2400 m at an elevation angle of 50º. Calculate the distance the plane has flown in this time interval, its spee - An azimuth
The patrol had started at a designated marching angle (an azimuth) of 13°. After 9 km, the azimuth's angle changed to 62°. The patrol went 10 km in this direction. Find the distance from where the patrol started. - The airplane
The airplane sights a runway at an angle of depression of 23°. It is flying at an altitude of 3 kilometers above the ground. What is the horizontal distance of the airplane from the airport? - An angle of depression
The lighthouse sees a ship at an angle of depression of 25°. The observer from the lighthouse is 82 m above sea level. How far is the ship from the top of the lighthouse? - Factory plan measurements
On the plan, the rectangular factory hall has dimensions of 30 cm and 16 cm at a scale of 1:500. Calculate the actual measurements. - Beni has
Beni has a rectangular tub with a height of 50 cm, a width of 70 cm, and a length of 90 cm. He will fill the tub with water. The amount of water needed to fill 2/3 of Beni's tub is : - Tunnel passage time
The Branisko tunnel has a length of 4975 m. How long will a car pass through the tunnel if the speed limit is 80 km/h? - Track radius circumference
The runner circled the track three times. If he went around it once more, he would run one kilometer. What is the radius of the treadmill? - Capacity of the box
The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cubic centimeters? - A cyclist
A cyclist rides for 30 minutes on a style road to the top of a mountain. Down there, the road goes downhill. Its uphill speed is 20 km/h and 60 km/h downhill. The distance from the mountain's summit to its destination is 30 km. Calculate the average speed - Prague Huddersfield scale
Prague's direct distance to Huddersfield (United Kingdom) is 1680 km. What is the map's scale, at which this distance is 84 cm? - Street plan length
What length will the 120 m long street have on the plan at a scale of 1:1500? - Lake map scale
The air distance between the cottages on the same shore of the lake, 2.7 km, is the distance expressed by a line length of 36 mm. Find the scale of the map. - Map actual distance
On a tourist map with a scale of 1:50 000, the distance between Štrbské Pleso and Štrba is 14 cm. What is the actual distance? - On the plot 2
On a rectangular plot there will be a forest nursery. One side of the plot measures 12 m, the other 3 m more. a) how many metres of fencing will be needed to fence the forest nursery? b) how many seedlings will they plant if their mutual distance is 1 m a - Inaccessible direct
Determine the distance between two inaccessible places P, Q, if the distance between two observation points A, B is 2000 m and if you know the size of the angles QAB = 52°40''; PBA = 42°01''; PAB = 86°40'' and QBA = 81°15''. The considered locations A, B, - Rod ratio division
How do you divide a 3 m long rod in a ratio of 1:5? Specify the length of both parts in cm. - Steel bar cutting We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number.
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