cityprep1680 cityprep1680
  • 04-07-2017
  • Mathematics
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Find the width, 2x, of the V- Slot shown. Round to the nearest hundredth

Find the width 2x of the V Slot shown Round to the nearest hundredth class=

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jimthompson5910 jimthompson5910
  • 04-07-2017
x = half of the width
2x = the full width

Because of this fact, we know that the angle 45 degrees is bisected to get 45/2 = 22.5 degrees

tan(angle) = opposite/adjacent
tan(22.5) = x/75
x = 75*tan(22.5)
x = 31.066017

Multiply both sides by 2 to get
2*x = 2*31.066017
2x = 62.132034
2x = 62.13

Answer:  62.13 inches

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