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amykmoriarty amykmoriarty
  • 30-01-2015
  • Mathematics
Answered

Find x in this trigonometry question

Find x in this trigonometry question class=

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konrad509
konrad509 konrad509
  • 30-01-2015

\(\tan 61=\dfrac{y}{10}\\ y=10\tan 61\\\\ \cos 55=\dfrac{z}{10 \tan 61}\\ z=10\tan 61\cos 55\\\\ \sin x=\dfrac{10\tan 61\cos 55}{12}\\ \sin x\approx\dfrac{10\cdot1.8\cdot0.57}{12}\\ \sin x\approx0.855\\ x\approx58.76^{\circ}\)

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