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Answer:

  • Given and explained below.

question 4

using sine rule:

[tex]\sf sinx = \frac{opp}{hyp}[/tex]

[tex]\sf sinx = \frac{11}{13}[/tex]

[tex]\sf x = sin^{-1}(\frac{11}{13} )[/tex]

[tex]\sf x = 57.8[/tex]

question 5

using cosine rule:

[tex]\sf cosx =\frac{adj}{hyp}[/tex]

[tex]\sf cos(31) =\frac{x}{17}[/tex]

[tex]\sf cos(31)*17 =x[/tex]

[tex]\sf x = 14.6[/tex]

[tex]\\ \rm\hookrightarrow sinx=11/13[/tex]

[tex]\\ \rm\hookrightarrow sinx=0.8[/tex]

[tex]\\ \rm\hookrightarrow x=sin^{-1}(0.8)[/tex]

[tex]\\ \rm\hookrightarrow x=53°[/tex]

#5

[tex]\\ \rm\hookrightarrow sin31=x/17[/tex]

[tex]\\ \rm\hookrightarrow x=sin31(17)[/tex]

[tex]\\ \rm\hookrightarrow x=0.5(17)[/tex]

[tex]\\ \rm\hookrightarrow x=8.5[/tex]

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