Expression of a variable from the formula + unit conversion - practice problems
Number of problems found: 332
- Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long. - Tower + pole
On the horizontal plane, there is a vertical tower with a flag pole on its top. At a point 9 m away from the foot if the tower, the angle of elevation of the top and bottom of the flag pole are 60°and 30° respectively. Find the height of the flag pole. - The angle 9
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower - Triangle 90
Triangle made by 6 cm 4.5 cm and 7.5 cm. what angles does it make?
- The boat
A boatman goes 2 km against the stream in 40 minutes and returns to the same spot in 30 minutes. What is his rate of rowing in still water? - A plane 3
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed. - Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall of a building is 45°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from A is 60°. Find the length of the flagstaff and th - 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. - Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - A water 2
A water tank is 2m long, 1.9m wide, and 964 mm deep. How much water will it hold? Answer in liters. 2nd question: A tank that is 2.5 m long and 1.5m deep holds 6.75 cubic meters of water. What is its width? - Poured liquid
If I pour 59ml of liquid into an area of 594 sq mm, how thick would the liquid be? - The tower
From a window 8 m above the horizontal plane, we can see the top of the tower at an elevation angle of 53 degrees 20 minutes, and its base at an angle of 14 degrees 15 minutes. How high is the tower? - Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
- Perpendicular 83636
In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular. - Tightened 83632
The key works like a lever, where one arm is the radius of the bolt, and the other is the length of the key. If key no. 12 (for screws with a diameter of 12 mm) and a length of 12 cm can be tightened with a maximum force of 100 N, what force does the wren - Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg! - Calculate 83356
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment. - Isosceles 83247
Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8cm and the angle at the base alpha= 38°40`.
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