tyriquemills0
tyriquemills0 tyriquemills0
  • 02-05-2021
  • Mathematics
contestada

Given that x = 9.5 m and θ = 20°, work out AC rounded to 3 SF​

Given that x 95 m and θ 20 work out AC rounded to 3 SF class=

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jimrgrant1 jimrgrant1
  • 02-05-2021

Answer:

AC ≈ 10.1 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )

AC × cos20° = 9.5 ( divide both sides by cos20° )

AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )

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