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
11 men can dig \[6\frac{3}{4}\] metre long trench in one day. How many men should be employed for digging 27 metre long trench of the same type in one day?
Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow it in 4 hours. How long will Sohan take to mow the lawn if he works alone?
A and B can do a piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?
If 9 girls can prepare 135 garlands in 3 hours, how many girls are needed to prepare 270 garlands in 1 hour?
Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?
If the thickness of a pile of 12 cardboard sheets is 45 mm, then the thickness of a pile of 240 sheets is ______ cm.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Distance travelled by an auto-rickshaw and time taken.
From the following table, determine if x and y are in direct proportion or not.
| x | 3 | 6 | 15 | 20 | 30 |
| y | 12 | 24 | 45 | 60 | 120 |
A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given below. Find the width of the pool.
Kritika is following this recipe for bread. She realises her sister used most of sugar syrup for her breakfast. Kritika has only `1/6` cup of syrup, so she decides to make a small size of bread. How much of each ingredient shall she use?
Bread recipe
1 cup quick cooking oats
2 cups bread flour
`1/3` cup sugar syrup
1 tablespoon cooking oil
`1 1/3` cups water
3 tablespoons yeast
1 teaspoon salt.
