Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the length of the shadow cast by another pole 10 m 50 cm high.
Complite the following table given that x varies directly as y .
| x | 5 | ... | 10 | 35 | 25 | ... |
| y | 8 | 12 | ... | ... | ... | 32 |
A car is travelling at the average speed of 50 km/hr. How much distance would it travel in 12 minutes?
The cost of 97 metre of cloth is Rs 242.50. What length of this can be purchased for Rs 302.50?
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?
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?
In which of the following case, do the quantities vary directly with each other?
100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for ______.
A car covers a distance in 40 minutes with an average speed of 60 km/h. What should be the average speed to cover the same distance in 25 minutes?
A car travels a distance of 225 km in 25 litres of petrol. How many litres of petrol will be required to cover a distance of 540 kilometres by this car?
