Question

A pole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. How tall is the building? Which of the following proportions could be used to solve the problem? 3/110 = x/5 3/x = 110/5 x/3 = 110/5

Answer 1

`(110)/(5)=(x)/(3)`

Explanation:

Given : A pole 3 m high has a shadow 5 m long

The shadow of a nearby building is 110 m long.

To Find: How tall is the building?

Solution:

Let the height of building be x

A pole 3 m high has a shadow 5 m long

The shadow of a nearby building is 110 m long.

Height of pole and length of shadow has direct variation

So, A.T.Q

`(3)/(5)=(x)/(110)`

or

`(110)/(5)=(x)/(3)`

Hence Option C is correct

`(110)/(5)=(x)/(3)`

Answer 2

You can use corresponding parts of the proportion as any of
(pole:building) = (pole shadow:building shadow)
(pole:pole shadow) = (building:building shadow)
or the reverse of these.

The appropriate choice is ...
x/3 = 110/5 . . . . (building:pole) = (building shadow:pole shadow)