Respuesta :

Answer:

64.62 degrees

Step-by-step explanation:

Cosine adjacent/hypotenuse (sides)

CosB = (3/7)

B = [tex]Cos^{-1}[/tex](3/7)

B = 64.62

Answer:

64.62

Step-by-step explanation:

AC²= AB²-BC²

[tex]AC = \sqrt{ {(7)}^{2} - ({3)}^{2} } [/tex]

[tex] = \sqrt{49 - 9} = \sqrt{40} = 2 \sqrt{10} [/tex]

[tex] \tan(B) = \frac{AC }{ BC} [/tex]

[tex] B = { \tan}^{ - 1} \frac{2 \sqrt{10} }{3} [/tex]

[tex] = 64.62[/tex]