Answer :

The given triangle is

Recall that the formula for tan is

[tex]\tan \theta=\frac{Opposite\text{ side}}{\text{adjacent side}}[/tex][tex]\text{Substitute Opposite side=14 , adjacent side=x and }\theta=27^o,\text{ we get}[/tex]

[tex]\tan 27^o=\frac{14}{x}[/tex][tex]\text{Use }tan27^o=0.509.[/tex]

[tex]0.509=\frac{14}{x}[/tex]

[tex]x=\frac{14}{\text{0}.509}=27.505[/tex]

Hence the x value is 27.5.

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