Advertisements
Advertisements
प्रश्न
An electric pole casts a shadow of length 20 m at a time when a tree 6 m high casts a shadow of length 8 m. Find the height of the pole.
उत्तर
Let the height of the pole = x m
Then, we have:
x : 20 :: 6 : 8
Now, we know:
Product of extremes = Product of means
8x = 20 × 6
x = `120/8` = 15
Hence, the height of the pole is 15 m.
APPEARS IN
संबंधित प्रश्न
If `a/b = c/d` prove that each of the given ratios is equal to
`(5a + 4c)/(5b + 4d)`
If a, b, c and d are in proportion prove that `sqrt((4a^2 + 9b^2)/(4c^2 + 9d^2)) = ((xa^3 - 4yb^3)/(xc^3 - 5yd^3))^(1/3)`
If y is the mean proportional between x and z, show that :
xyz (x+y+z)3 =(xy+yz+xz)3
If a : b = c : d; then show that (ax+ by) : b = (cx+ dy) : d
If a, b, c, d are in continued proportion, prove that (b - c)2 + (c - a)2 + (d - b)2 = (d - a)2.
If `x/a = y/b = z/c`, show that `x^3/a^3 - y^3/b^3 = z^3/c^3 = (xyz)/(zbc).`
Determine if the following numbers are in proportion:
7, 42, 13, 78
Verify the following:
60 : 105 : : 84 : 147
Determine if the following ratio form a proportion:
39 litres : 65 litres and 6 bottles : 10 bottles
If `a/c = c/d = c/f` prove that : `(a^2)/(b^2) + (c^2)/(d^2) + (e^2)/(f^2) = "ac"/"bd" + "ce"/"df" + "ae"/"df"`
