jaded24 jaded24
  • 24-11-2018
  • Mathematics
contestada

please explain how to do and set up

please explain how to do and set up class=

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jimrgrant1 jimrgrant1
  • 24-11-2018

A

using the Cosine rule in ΔSTU

let t = SU, s = TU and u = ST, then

t² = u² + s² - (2us cos T )

substitute the appropriate values into the formula

t² = 5² + 9² - (2 × 5 × 9 × cos68° )

   = 25 + 81 - 90cos68°

   = 106 - 33.71 = 72.29

⇒ t = [tex]\sqrt{72.29}[/tex] ≈ 8.5 in → A


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