Math in the Workplace - Geometry
MICRON TECHNOLOGY, INC.
Semiconductor Manufacturing
Plumber
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Job Description: Performs a wide variety of skilled plumbing duties in the construction, maintenance, repair, and alteration of facilities. |
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Problem:
A plumber needs to run three 2-inch lines around the mechanical
room. He must offset the pipe around the air handlers in the corners.
The outside line is to be 8 inches from the wall and 5 inches from
the corner. The spreads between the lines are to be 9 inches and
the angle is 45°. Pieces A and B are 3.75 inches and 7.5 inches
respectively. What should be the length of pieces C, D, and E?
 MICRON TECHNOLOGY, INC.
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Solution:
Use Pythagorean Theory: a2 + b2 = c2
Special case for 45° right triangles:
Since a=b, equation becomes 2a2 = c2
| Length C: |
side a1 = b1 = 12 + 2 = 14" |
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2a2 = c2
2 x 142 = C2
2 x 196 = C2
392 = C2 |
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 392 = 19.8" = Length C |
| Length D: |
side a2 = 9 + 2 + 12 + 2 - 3.75 (piece A) = 21.25" |
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2a2 = D2
2 x 21.252 = D2
2 x 451.5 = D2
903 = D2 |
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903.125 = 30.05" = Length D |
| Length E: |
side a3 = 9 + 2 + 9 + 2 + 12 + 2 - 7.5 (piece B) = 28.5" |
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2a2 = E2
2 x 28.52 = E2
2 x 812.25 = E2
1624.5 = E2 |
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1624.5 = 40.31" = Side E |