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50 POINTS PLUS BRAINILY

50 POINTS PLUS BRAINILY class=

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Fieryanswererftidn

Answer:

x = 53.6°

using tan rule:

[tex]\hookrightarrow \sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(x) = \dfrac{19}{14}[/tex]

[tex]\hookrightarrow \sf x = tan^{-1}(\dfrac{19}{14})[/tex]

[tex]\hookrightarrow \sf x = 53.6[/tex]

Semsee45idn

Answer:

53.6° (nearest tenth)

Step-by-step explanation:

Use tan trig ratio:

[tex]\tan(\theta)=\dfrac{O}{A}[/tex]

where [tex]\theta[/tex] is the angle, O is the side opposite the angle and A is the side adjacent the angle.

Given:

  • [tex]\theta[/tex] = [tex]x[/tex]
  • O = 19
  • A = 14

[tex]\implies \tan(x)=\dfrac{19}{14}[/tex]

[tex]\implies x=\arctan\left(\dfrac{19}{14}\right)[/tex]

[tex]\implies x=53.6 \textdegree[/tex]

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