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alukav5142 [94]
2 years ago
15

100 POINTS PLUS BRAINLY

Mathematics
2 answers:
Iteru [2.4K]2 years ago
4 0

Answer:

\sf adjacent  = 4.5 \ ft

Given:

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

using tan rule:

\sf tan(x) = \dfrac{opposite}{adjacent}

\hookrightarrow \sf tan(71) = \dfrac{13}{adjacent}

\hookrightarrow  \sf adjacent  = \dfrac{13}{tan(71) }

\hookrightarrow  \sf adjacent  = 4.5

daser333 [38]2 years ago
4 0

Let unknown side be x

\\ \rm\hookrightarrow tan\theta=\dfrac{P}{B}

\\ \rm\hookrightarrow tan71=\dfrac{13}{x}

\\ \rm\hookrightarrow 2.9=13/x

\\ \rm\hookrightarrow x=13/2.9

\\ \rm\hookrightarrow x=4.5

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