olivecollins100 olivecollins100
  • 12-03-2021
  • Mathematics
contestada

In triangle RST, RT = 16, ST = 24, and m< R = 120. To the nearest tenth, what is m < s ?

Respuesta :

olayemiolakunle65
olayemiolakunle65 olayemiolakunle65
  • 17-03-2021

Answer:

m<S = [tex]35.3^{o}[/tex]

Step-by-step explanation:

Applying the sine rule to the given question, we have;

[tex]\frac{r}{Sin R}[/tex] = [tex]\frac{s}{Sin S}[/tex]

[tex]\frac{24}{Sin 120}[/tex] = [tex]\frac{16}{Sin S}[/tex]

cross multiply to have,

16 x Sin 120 = 24  x Sin S

16 x 0.8660 = 24 Sin S

13.856 = 24 Sin S

Sin S = [tex]\frac{13.856}{24}[/tex]

         = 0.57733

S = [tex]Sin^{-1}[/tex] 0.57733

  = 35.2630

Thus, m<S = [tex]35.3^{o}[/tex]

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