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 | 4 | 9 | ... | ... | 3 | ... |
| y | 16 | ... | 48 | 36 | ... | 4 |
Rohan can paint \[\frac{1}{3}\] of a painting in 6 days. How many days will he take to complete the painting?
Sita can finish typing a 100 page document in 9 hours. Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?
A and B can do a piece of work in 6 days and 4 days respectively. A started the work; worked at it for 2 days and then was joined by B. Find the total time taken to complete the work.
Ten men take 4 days to complete the task of tarring a road. How many days would 8 men take?
Every 3 months Tamilselvan deposits ₹ 5000 as savings in his bank account. In how many years he can save ₹ 1,50,000
If the thickness of a pile of 12 cardboard sheets is 45 mm, then the thickness of a pile of 240 sheets is ______ cm.
The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?
The mass of an aluminum rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.
Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.
| Mixture C | Mixture D |
 |
 |
If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?
