given that y= 8 cm and θ= 39 °, work out x rounded to 1 decimal place.
(not drawn to scale)

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:
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]