12bramet
12bramet 12bramet
  • 25-05-2022
  • Mathematics
contestada

Given that x= 7.4m and θ= 32°, work out BC rounded to 3 SF.

(not drawn accurately.)

Given that x 74m and θ 32 work out BC rounded to 3 SF not drawn accurately class=

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jimrgrant1 jimrgrant1
  • 25-05-2022

Answer:

BC ≈ 11.8 m

Step-by-step explanation:

using the tangent ratio in the right triangle

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] , that is

tan32° = [tex]\frac{x}{BC}[/tex] = [tex]\frac{7.4}{BC}[/tex] ( multiply both sides by BC )

BC × tan32° = 7.4 ( divide both sides by tan32° )

BC = [tex]\frac{7.4}{tan32}[/tex] ≈ 11.8 m ( to 3 sf )

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