Question
A flagpole stands on top of a building. From a point 50
meters away from the base of the building, the angle of elevation to the top of the building is 30°, and to the top of the flagpole is 45°. Find the height of the flagpole.Solution
Let the height of the building be h meters, and the height of the flagpole be f meters. From the angle of elevation to the top of the building (30°): tan 30° = h / 50 1/√3 = h / 50 h = 50 / √3. From the angle of elevation to the top of the flagpole (45°): tan 45° = (h + f) / 50 1 = (h + f) / 50 h + f = 50. Substitute h = 50 / √3: (50 / √3) + f = 50. f = 50 - (50 / √3). f = 50(1 - 1/√3). f = 50(√3 - 1) / √3. Answer: d
In a total 80-liter mixture of milk and water, there is 25% milk. How many liters of water should be added so that the quantity of milk in the mixture b...
A milkman mixed milk and water in an empty container in the ratio 14:9. The quantity of milk mixed was bought by the milkman at the rate of Rs. 25/litre...
In a mixture, the milk and water are in the ratio 9:2. When 44 liters of the mixture is replaced with 20 liters of water, the ratio becomes 9:4. Find t...
Quantity of water in a 350 litres mixture (Milk + Water) is 50 litres less than the quantity of milk in it. Find the quantity of water to be mixed so th...
- 360 litres of mixture 'P' has milk and water in the ratio 4:1, and 240 litres of mixture 'Q' has them in the ratio 5:3. What is the ratio of milk to water ...
(X + 140) liters of mixture A contains milk and water only such that quantity of water in it is (X – 100) liters less than quantity of milk in it. 75%...
A mixture contains liquid A and liquid B in the ratio of 5:3, respectively. If 12L of liquid B is added to this mixture, the respective ratio of liquid ...
In a 120-litre chemical mixture, the chemicals A and B are in the ratio 5:7. How much of chemical A must be added to make the ratio 7:7 (i.e., equal amo...
A vessel contains 200 litres of milk and water in the ratio of 5:3. If 10 litres of milk is added to the mixture, then find the ratio of milk to water i...
A mixture contains 30 ml water and rest ‘x’ ml milk. When 0.6x ml of water is added to the mixture, the quantity of water becomes 2/5th of the mixtu...
