Respuesta :

Answer:

  • Value of x is 34.9 (nearest tenth)

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Step-by-step explanation:

In given right angled traingle:

  • AC (Hypotenuse) = 20
  • ∠ACB = 35°
  • AB (Perpendicular) = x

[tex]~[/tex]

In ∆ABC,

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf \dfrac {AC}{AB} = \sin35° \\[/tex]

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf \dfrac {20}{x} = 0.5736 \\[/tex]

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf x = \dfrac {20}{0.5736} \\[/tex]

[tex]\: \: \: \:{ \pmb{ \pink{ \sf{ \dashrightarrow \: \: \: { x = 34.867 }}}}}[/tex]

Hence,

  • Value of x is 34.9 (nearest tenth)
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