Question

A section of a stream is shown in the drawing below. What is x, the distance across the stream, in feet?

Answer 1

`x = 8\ ft`

Explanation:

Given

See attachment for stream

Required

Find x

To solve for x, we make use of the following equivalent ratio

`4 : 6 = x : 12`

Convert to fractions

`(4)/(6) = (x)/(12)`

Multiply both sides by 12

`12 * (4)/(6) = (x)/(12) * 12`

`12 * (4)/(6) = x`

`x = 12 * (4)/(6)`

`x = (12 * 4)/(6)`

`x = (48)/(6)`

`x = 8`