Question

Ramiro is 3/10 as tall as a flagpole. The flagpole is 5/9 as tall as a nearby tree. The tree is 32 2/5 feet tall. How tall is Ramiro?

Answer 1

32 2/5 = 162/5
162/9 = 18
18 x 5 = 90
90/10 = 9
9 x 3 = 27.

That makes Ramiro 27/5 feet tall or you can also say he's 5 2/5 feet tall.

Answer 2

Let

x---------> Ramiro's height

y--------> height of the flagpole

z-------> height of the tree

we know that

`z=32(2)/(5) \\\\ z=(32*5+2)/5\\\\ z=(162)/(5) ft`

1) Find the height of the flagpole

`y=(5)/(9) *(162)/(5) \\\\ y=(162)/(9) \\\\ y=18 ft`

2) Find the height of Ramiro

`x=(3)/(10) *18\\ \\ x=(54)/(10) \\ \\ x=5.4 ft\\ \\ x=5(2)/(5) ft`

therefore

the answer is

The height of Ramiro is
`5(2)/(5) ft`