Respuesta :

Given:

[tex]\begin{gathered} a=13\text{ cm} \\ \\ c=43\text{ cm} \end{gathered}[/tex]

Find-:

The angle of B.

Sol:

The angle of B is:

[tex]\begin{gathered} \text{ Base =}a=13\text{ cm} \\ \\ \text{ Hypotenuse =}c=43\text{ cm} \end{gathered}[/tex]

Angle "B"

[tex]\cos\theta=\frac{\text{ Base}}{\text{ Hypotenuse }}[/tex][tex]\begin{gathered} \cos B=\frac{\text{ Base}}{\text{ Hypotenuse }} \\ \\ \cos B=\frac{13}{45} \end{gathered}[/tex]

So the angle "B" is:

[tex]\begin{gathered} \cos B=\frac{13}{45} \\ \\ B=\cos^{-1}(\frac{13}{45}) \\ \\ B=73.21 \\ \\ B\approx73 \end{gathered}[/tex]

The angle of "B" is 73

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