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15 votes
15 votes
Is this correct if not why !!!!!!!

Is this correct if not why !!!!!!!-example-1
User Tin Tran
by
2.8k points

2 Answers

11 votes
11 votes

Answer:

x ≈ 61.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° =
(adjacent)/(hypotenuse) =
(20)/(x) ( multiply both sides by x )

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

x =
(20)/(cos71) ≈ 61.4 ( to the nearest tenth )

User Jonathan Cichon
by
2.9k points
14 votes
14 votes

Answer: 61.4

====================================================

Step-by-step 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.
User Casie
by
2.9k points