Question

the height of red Pole is 2/5 that of a green Pole the height of green pole is 10/13 of the height of a blue pole find the height of blue Pole if the height of the red pole is 17 1/3m​

Answer 1

Answer:

169/3 m

Step-by-step explanation:

Let the height of ,

• red pole = r
• green pole = g
• blue pole = b

Now, it's given that,

Height of red pole is 2/5 of green pole.

Therefore, we will get,

=> r = 2g/5 ......(1)

Also, it's given that,

Height of green pole is 10/13 of blue pole.

Therefore, we will get,

=> g = 10b/13 ......(2)

But, it's given that,

Height of red pole = 17⅓ m

=> r = (17×3+1)/3

=> r = 52/3 m

Substituting this value in (1), we get,

=> 2g/5 = 52/3

=> 2g/5 = 2×26/3

=> g/5 = 26/3

=> g = 26×5/3

=> g = 130/3 m

Now, substituting this value in (2), we get,

=> 10b/13 = 130/3

=> 10b/13 = 10×13/3

=> b/13 = 13/3

=> b = 13×13/3

=> b = 169/3 m

Hence, Height of blue pole is 169/3 m.