Advertisements
Advertisements
प्रश्न
A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proportional to their heights. Find the height of the tank.
Advertisements
उत्तर
The height of the tree = 9.5 m
The shadow of the tree = 8 m
According to the given condition in the question, the lengths of the shadows are in direct proportion.
∴ `8/9.5 = 21/x`
⇒ `x = (21 xx 9.5)/8 = 199.5/8` = 24.9375 ≈ 24.9 m
Hence, height of the water tank is 24.9 m.
APPEARS IN
संबंधित प्रश्न
Complite the following table given that x varies directly as y .
| x | 5 | ... | 10 | 35 | 25 | ... |
| y | 8 | 12 | ... | ... | ... | 32 |
Complite the following table given that x varies directly as y .
| x | 6 | 8 | 10 | ... | 20 |
| y | 15 | 20 | ... | 40 | ... |
A cistern can be filled by one tap in 8 hours, and by another in 4 hours. How long will it take to fill the cistern if both taps are opened together?
A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?
For 9 cows, 13 kg 500 g of food supplements are required every day. In the same proportion, how much will be needed for 12 cows?
A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required to cover a distance of 1650 km?
Assuming land to be uniformly fertile, the area of land and the yield on it vary ______
When the speed remains constant, the distance travelled is ______ proportional to the time.
The perimeter of a circle and its diameter vary ______ with each other.
If Naresh walks 250 steps to cover a distance of 200 metres, find the distance travelled in 350 steps.
