12bramet
12bramet 12bramet
  • 23-05-2022
  • Mathematics
contestada

given that y= 8 cm and θ= 39 °, work out x rounded to 1 decimal place.

(not drawn to scale)

given that y 8 cm and θ 39 work out x rounded to 1 decimal place not drawn to scale class=

Respuesta :

jimrgrant1 jimrgrant1
  • 23-05-2022

Answer:

x ≈ 6.2 cm

Step-by-step explanation:

using the cosine ratio in the right triangle

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] , that is

cos39° = [tex]\frac{x}{y}[/tex] = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )

8 × cos39° = x , then

x ≈ 6.2 cm ( to 1 dec. place )

Answer Link
fieryanswererft
fieryanswererft fieryanswererft
  • 23-05-2022

Answer:

x = 6.2

Use cosine rule:

[tex]\sf cos(\theta) = \dfrac{adjacent}{hypotenuse}[/tex]

Inert following:

[tex]\sf cos(39) = \dfrac{x}{8}[/tex]

change sides

[tex]\sf x = 8cos(39)[/tex]

simplify

[tex]\sf x = 6.2[/tex]

Answer Link

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