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Answer :

Fieryanswererftgo

Answer:

[tex]\sf adjacent = 4.5 \ ft[/tex]

Given:

  • opposite side: 13 ft
  • adjacent unknown
  • angle of 71°

using tan rule:

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

[tex]\hookrightarrow \sf tan(71) = \dfrac{13}{adjacent}[/tex]

[tex]\hookrightarrow \sf adjacent = \dfrac{13}{tan(71) }[/tex]

[tex]\hookrightarrow \sf adjacent = 4.5[/tex]

Let unknown side be x

[tex]\\ \rm\hookrightarrow tan\theta=\dfrac{P}{B}[/tex]

[tex]\\ \rm\hookrightarrow tan71=\dfrac{13}{x}[/tex]

[tex]\\ \rm\hookrightarrow 2.9=13/x[/tex]

[tex]\\ \rm\hookrightarrow x=13/2.9[/tex]

[tex]\\ \rm\hookrightarrow x=4.5[/tex]

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