skehillj skehillj
  • 02-03-2021
  • Mathematics
contestada

Determine the value of x in the diagram. Plz show your work.

Determine the value of x in the diagram Plz show your work class=

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jimrgrant1 jimrgrant1
  • 02-03-2021

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{7}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 7[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = [tex]\frac{7\sqrt{3} }{3}[/tex] → D

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