Respuesta :

Answer:  61.4

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Explanation:

Use the cosine ratio to get the following,

cos(angle) = adjacent/hypotenuse

cos(71) = 20/x

x*cos(71) = 20

x = 20/cos(71)

x = 61.431 approximately

x = 61.4

Notes:

  • The hypotenuse is always the longest side of any right triangle, so x must be larger than 20.
  • Make sure your calculator is in degree mode.

Answer:

x ≈ 61.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{20}{x}[/tex] ( multiply both sides by x )

x × cos71° = 20 ( divide both sides by cos71° )

x = [tex]\frac{20}{cos71}[/tex] ≈ 61.4 ( to the nearest tenth )

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