Advertisements
Advertisements
प्रश्न
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.
Advertisements
उत्तर
Given,
length of shadow of 5 m 60 cm high vertical pole = 3 m 20 cm
We know that 5 m 60 cm = 5 × 100 + 60
= 500 + 60
= 560 cm
3 m 20 cm = 3 × 100 + 20
= 300 + 20
= 320 cm
Length of shadow of second pillar = 5 m
= 5 × 100
= 500 cm
Let the length of the pillar = y
ratio of both
Then `560/320 = y/500`
on multiplying thunderbolts
`320 × y = (560×500)/30`
`y = (560×500)/320`
y = 875
Hence, length of shadow of the pillar = 875 cm
= 8 m 75 cm
APPEARS IN
संबंधित प्रश्न
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
Complite the following table given that x varies directly as y .
| x | 2.5 | ... | ... | 15 |
| y | 5 | 8 | 12 | ... |
Suneeta types 1080 words in one hour. What is her GWAM (gross words a minute rate)?
A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?
A postman can sort out 738 letters in 6 hours. How many letters can be sorted in 9 hours?
If C = kd
(i) what is the relation between C and d?
(ii) find k when C = 30 and d = 6
(iii) find C, when d = 10
If 45 persons can complete a work in 20 days, then the time taken by 75 persons will be ______ hours.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Number of students in a hostel and consumption of food.
It is given that l varies directly as m. Find the constant of proportion (k), when l is 6 then m is 18.
There are 20 grams of protein in 75 grams of sauted fish. How many grams of protein is in 225 gm of that fish?
