Question

100 POINTS PLUS BRAINLY

Answer 1

Answer:

$\sf adjacent = 4.5 \ ft$

Given:

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

using tan rule:

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

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

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

$\hookrightarrow \sf adjacent = 4.5$

Answer 2

Let unknown side be x

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

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

$\\ \rm\hookrightarrow 2.9=13/x$

$\\ \rm\hookrightarrow x=13/2.9$

$\\ \rm\hookrightarrow x=4.5$