SOLUTION:
Step 1:
In this question, we are given the following:
A pipefitter must connect a pipeline to a tank as shown in the figure.
The run from the pipeline to the tank is 64ft 6in., while the set (rise) is 35ft 9in.
Step 2:
A. How long is the connection?
Converting 64 feet 6 inches to inches, we have that:
[tex]\text{( 64 x 12 ) + 6 = 768 + 6 = }774\text{ inches}[/tex]
Also, we have 35 feet 9 inches, we have that:
[tex](35\text{ x 12 ) + 9 = 420 + 9 = 429 inches}[/tex]
Using Pythagoras' Theorem, we have that:
[tex]\begin{gathered} l^2=(774)^2+(429)^2 \\ l^2\text{ = 599,076 + 184,041} \\ l^2\text{ = 783,117} \\ \text{square}-\text{root both sides, we have that:} \\ \text{l =884.93} \\ l\approx\text{ 885 inches ( to the nearest inches)} \\ l\text{ = 73 ft 9 inches} \end{gathered}[/tex]
The length of the connection = 73 feet 9 inches
Step 3:
Will the pipe fitter be able to use standard pipe fittings?
From the diagram, we can see that:
[tex]\begin{gathered} tan\text{ }\theta\text{ =}\frac{774\text{ inches ( opposite)}}{429\text{ inches (adjacent)}} \\ \tan \text{ }\theta\text{ = 1.8042} \\ \theta\text{ =}\tan ^{-1}\text{ (1.8042)} \\ \theta\text{ = 61.00 degre}es\text{ } \\ \theta\approx\text{ 60 degr}ees\text{ ( to the nearest degre}e) \end{gathered}[/tex]
