Answer:
As it says approximate, the nearest value to 46.6° is 45.6°
Therefore, 45.6° is the approximate measure of angle A.
using SOH CAH TOA:
[tex]\sf cos(A) = \dfrac{b^2+c^2-a^2}{2bc}[/tex]
[tex]\hookrightarrow \sf cos(A) = \dfrac{4^2+8^2-6^2}{2(8)(4)}[/tex]
[tex]\hookrightarrow \sf cos(A) = 0.6875[/tex]
[tex]\hookrightarrow \sf A = cos^{-1}(0.6875)[/tex]
[tex]\hookrightarrow \sf A = 46.5675^{\circ \:}[/tex]
[tex]\hookrightarrow \sf A = 46.6^{\circ \:}[/tex]
