Unit conversion of Length Problems - page 3 of 52
Number of problems found: 1023
- A lighthouse
A lighthouse overlooks a bay, and it is 77 meters high. From the top, the lighthouse keeper can see a yacht southward at an angle of depression of 32 degrees and another boat eastward at an angle of 25 degrees. What is the distance between the boats? - Paper
The drawing paper has dimensions 220 mm and 308 mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - There 32
There are 20 magazines in a pile. Each magazine is 5 mm thick. How high is the pile in meters? - FRAMES
Joe is making picture frames out of wood. The length of each frame is 10 inches, and the width is 8 inches. Each piece of wood used to make the frames is 8 feet long. How many pieces of wood will he need to make 10 picture frames? Clue: find the perimeter - A soccer
A soccer field (football pitch) has a length of 101.8 m and a width of 69.8 m. Find the total area of the field in square meters (m2) and convert this measurement to square yards (yd2). Use the fact that 1 yard = 0.9144 m. Round your answer to the nearest - Piece of a wire
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 24 inches and 21 inches. The angle between these two sides is 55°. What is the length of the third side to the nearest hundredth of an inch? A: The length of the third side is - Map scale
On a map, on a scale of 1:50000, what is the distance in kilometers that 6 cm on the map represents? - The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl - Scale model
In a model train set, 1.38 inches represents one foot in real life. The height of One World Trade Center in New York City is 1776 feet. How tall would a scale model of the building be? Should you calculate 1776 x 1.38 or 1776 ÷ 1.38? - The long
The long side of a rectangular frame is 2′9″, and the short side is 1′3″. What is the area of the frame in square feet? - The corn
When the corn was ready for harvest 75 days later, it measured 2 ¼ meters high. What is the measurement in centimeters? - Landing strip
How long is the runway at an airport if, at an altitude of 1.2 km, the beginning of the runway is visible at a depression angle of 58° and the end at a depression angle of 27°? - Tunnel - quadrilateral
How long will tunnel AB be, given distances AD = 35 m, DC = 120 m, CB = 85 m, angle ADC = 105°, and angle BCD = 71°, where ABCD is a quadrilateral? - Bathroom 3
A bathroom measures 300 × 210 cm. What is the largest square tile size that can be used to cover the floor without cutting, and how many such tiles will be needed? - The tower
From a window 8 m above the horizontal plane, the top of a tower can be seen at an elevation angle of 53°20′, and its base at a depression angle of 14°15′. How high is the tower? - Police on time
A boat carrying smugglers has left the shore and is travelling at 85 km/h. After 10 minutes, a police boat starts chasing it at 110 km/h. International waters, where the possibility of apprehending the smugglers ends, begin 30 km from the coast. Will the - Map - route
A map has a scale of 1:40,000. How many centimetres will a route of 4.8 km be shown as on the map? - Saleswoman 3
A saleswoman cut 650 cm from a piece of batten that was 30 metres and 60 cm long. How much of the batten did she have left? - Oval running
Jan runs around a circle with a diameter of 24 m. How many kilometres will he run if he goes around the circle four times? - Determine the surface area
Find the surface area of a cone of height 30 cm whose slant side makes an angle of 60° with the base plane.
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