pipefitter must connect two pipes as shown. The run is 35 feet while the set is 23 feet. How long a pipe will he need, C, and wh
at will be the connecting angles, "a" and "b"? Round to the nearest hundredth. Enter your answers in the order: C, a, b.
1 answer:
The attached picture was omitted from the question.
Answer:
C = 41.88 feet
a = 33.1°
b = 56.9°
Step-by-step explanation:
From the diagram, we have a right angle triangle.
C = hypotenuse
C = sqrt(35^2 + 23^2)
C = sqrt(1225 + 529)
C = sqrt(1754)
C = 41.88 feet
The connecting Angles:
Angle 'a'
Using tan = opposite / Adjacent
Tan a = 23 / 35
tan a = 0.6571428
a = tan^-1 (0.6571428)
a = 33.1°
Angle 'b' :
Sum of angles in a triangle = 180
a + b + 90 = 180
33.1 + b + 90 = 180
b + 123.1 = 180
b = 180 - 123.1
b = 56.9°
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