yare6730 yare6730
  • 23-03-2021
  • Mathematics
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Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth

Use a trigonometric ratio to find the value of x Round your answer to the nearest tenth class=

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jimrgrant1 jimrgrant1
  • 23-03-2021

Answer:

x ≈ 8.1 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan72° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )

x × tan72° = 25 ( divide both sides by tan72° )

x = [tex]\frac{25}{tan72}[/tex] ≈ 8.1 ( to the nearest tenth )

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