Respuesta :

fieryanswererft

Answer:

[tex]\sf adjacent=33.4 \ ft[/tex]

using tan rule:

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

using the formula:

[tex]\sf tan(69)= \dfrac{100}{adjacent}[/tex]

[tex]\sf adjacent= \dfrac{100}{tan(69)}[/tex]

[tex]\sf adjacent=33.4 \ ft[/tex]

Let that unknown side be x

[tex]\\ \rm\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\hookrightarrow tan69=100/x[/tex]

[tex]\\ \rm\hookrightarrow 2.6=100/x[/tex]

[tex]\\ \rm\hookrightarrow x=100/2.6[/tex]

[tex]\\ \rm\hookrightarrow x=38.46[/tex]

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