Question

A pipe fitter must connect a pipeline to a tank as shown in the figure. The run from the pipeline to the tank is 62 ft 3 in. While the set (rise) is 39 ft 6 in.(a) How long is the connection?(b) Will the pipe fitter be able to use standard pipe fittings (i.e. 22 g10 30° 45°, 60°, or 90°)?

Answer 1

a)

The first step is to convert the given lengths to feet. Recall, 12''(inches) = 1'(foot)

Given that set = 39' 6'', we would convert 6'' to feet. it becomes

6/12 = 0.5

thus,

Set = 39' 6'' = 39 + 0.5 = 39.5'

Also,

Run = 62' 3''. BBy converting 3'' to feet, it becomes

3/12 = 0.25

Thus,

Run = 62 + 0.25 = 62.25

A right triangle is formed as shown below

From the triangle, x represents the length of the connection and it is also the hypotenuse of the triangle. We would find x by applying the pythagorean theorem which is expressed as

hypotenuse^2 = one leg^2 + other leg^2

Thus, we have

x^2 = 39.5^2 + 62.25^2

x^2 = 5435.3125

x = square root of 5435.3125

x = 73.72'

The length of the connection is 73.72'