Unit conversion of Length Problems
Number of problems found: 1023
- ABCD rhombus
ABCD is a rhombus with sides of 10.5 cm. If the length of diagonal AC = 15.8 cm, use the cosine rule to: a. calculate the length of diagonal BD to the nearest centimetre, b. find the angles of the rhombus to the nearest degree. - Triangle 97
Triangle DEF with angle Ê = 40°, angle F = 90°, EF = 45 mm. Find the length of DE. - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After moving 10 m closer to the pole, the angle of elevation becomes 30°. What is the height of the pole? - Building shadow
When the Sun's altitude is 30° above the horizontal, find the length of the shadow cast by a 50 m high building. - Length units
How many times does one and a half inches go into 12 feet? - A train 7
A train overtakes two persons walking in the same direction as the train at speeds of 2 km/h and 4 km/h. The train passes each of them completely in 9 and 10 seconds respectively. Find the length of the train. - A building
A building is 125 metres tall and 80 metres long. On a scale drawing, the height of the building is 25 centimetres. What is the length of the building on the scale drawing in centimetres? - Goods train A goods train runs at a speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
- Angle of inclination
Find the angle of inclination of a ramp that rises 80 cm over a horizontal length of 200 cm. - A tree 3
A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground at an angle of 30°. The distance from the foot of the tree to the point where the top touches the ground is 8 m. Find the original height of the tree. - The boat
A boatman rows 2 km against the current in 40 minutes and returns to the same spot in 30 minutes. What is his rowing speed in still water? - A kite 3
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in th - Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall building is 45°. A flag is hoisted at the top of the building, and the angle of elevation of the top of the flagpole from A is 60°. Find the length of the flagpole and the dist - Two men 2
Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45°, respectively. If the height of the tower is 50 m, find the distance between the two men. - Two trains 14
Two trains running in the same direction at 40 kmph and 22 kmph completely pass one another in 1 minute. If the length of the first train is 125 m, find the length of the 2nd train. - RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture. - A bike 2
A bike is travelling at 72 km/h. How much distance will it cover in 15 seconds? - A train 4 A train passes two bridges of 400 m and 260 m in 25 sec and 18 sec, respectively. Find the length and speed of the train.
- Elevation angle
A man standing on the deck of a ship, which is 10 m above the water level, observes the angle of elevation of the top of a hill as 60°, and angle of depression of the base of the hill is 30°. Find the distance of the hill from the ship and the height of t - The distance 4
The distance between two towns is 120 km there are approximately 8 km in each 5 mi. Which measurement is closest to the number of miles between each two towns?
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