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 )