cattiebabe05 cattiebabe05
  • 04-06-2021
  • Mathematics
contestada

AB =
Round your answer to the nearest hundredth.
А
20
B
3
С

AB Round your answer to the nearest hundredth А 20 B 3 С class=

Respuesta :

jimrgrant1 jimrgrant1
  • 04-06-2021

Answer:

AB ≈ 8.77

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{AB}[/tex] ( multiply both sides by AB

AB × sin20° = 3 ( divide both sides by sin20° )

AB = [tex]\frac{3}{sin20}[/tex] ≈ 8.77 ( to the nearest hundredth )

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