Respuesta :

Answer:

x is 22.6 units [ nearest tenth ]

x is 22.55 units [ nearest hundredth ]

Step-by-step explanation:

» From trigonometric ratios:

[tex]{ \tt{ \red{ \tan( \theta) = \frac{opposite}{adjacent} }}} \\ [/tex]

  • opposite → x
  • adjacent → 11
  • theta → 64°

[tex]{ \tt{ \tan(64 \degree) = \frac{x}{11} }} \\ \\ { \tt{x = 11 \times \tan(64 \degree) }} \\ \\ { \boxed{ \tt{ \: x = 22.55 \: units}}}[/tex]