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

x/3=110/5 will be your answer

Explanation:

Answer 2

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

Step-by-step explanation:

Let x be the original height of building.

We have been given that a 3 meter pole has a shadow 5 m long. The shadow of a nearby building is 110 m long.

To find the original height of building we will use proportions as proportion states that two fractions are equal.

So we can set a proportion using our given information.

`\frac{\text{Actual height of building}}{\text{Actual height of pole}}=\frac{\text{Shadow of building}}{\text{Shadow of pole}}`

Upon substituting our given values in above equation we will get,

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

Therefore, the equation
`(x)/(3)=(110)/(5)` could be used to find the actual height of building.