For the following questions answer them individually
The horizontal distance between two towers is 60 m. The angular elevation of the top of the taller tower as seen from the top of the shorter one is 30Ā°. If the height of the taller tower is 150 m, the height of the shorter one is ..........
Aboat travels upstream from B to A and downstream from Ato B in 3 hours. If the speed of the boat in still water is 9 km/hour and the speed of the current is 3 kn/hour, what is the distance between A and B?
Out of the total production of iron from hematite, an ore of iron, 20% of the ore gets wasted. Out of the remainingiron, only 25% is pure iron If the pure iron obtained in a year from a mine of hematite was 80000 kg, then the quantity of hematite mined in the year is .........
A car driver, driving in a fog, passes a pedestrian who was walking at the rate of 2 km/h in the same direction. The pedestrian could see the cat for 6 minutes and it was visible to him up to a distance of 0.6 km. What was the speed of the car?
A, B and C working together completed a job in 10 days. However, C only worked for the first three days when $$\frac{37}{100}$$ of the job was done. Also, the work done by A in 5 daysis equalto the work done by B in 4 days.. How many days would be required by the fastest worker to complete the entire work?
Three different containers contain different quantities of a mixture of milk and water, whose measurements are 403 litres, 434 litres and 465 litres. What biggest measure mustbe there to measure all the different quantities exactly?
The radius of the base of a conical tent is 5m. If the tent is 12 m high then the area of the canvas required in making the tent is .........
At a point on level ground, the angle Griensios of a vertical tower is found to be such that its tangent is $$\frac{5}{12}$$. On walking 192 m towards the tower, the tangent of the angle of elevation is $$\frac{3}{4}$$ The height of the tower is ..........
In a medical certificate, by mistake a candidate gave his height as 25% more than actual. In the interview panel, he clarified that his height was 5. feet 5 inches, What is the percentage correction madeby the candidate from his stated height to his actual height?
A manufacturer of a certain item can sell all he can produceat the selling price of ā¹60 each. It costs him ā¹40 in materials and labour to produce each item āand he has overhead expenses of ā¹3000 per week in order to operate that plant. The number of units he should produce and sell in order to makea profit ofat least ā¹1000 per week is ..............