Question

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 what will be the connecting angles, "a" and "b"? Round to the nearest hundredth. Enter your answers in the order: C, a, b.

Answer 1

The attached picture was omitted from the question.

Answer:

C = 41.88 feet

a = 33.1°

b = 56.9°

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°