Respuesta :

Answer:

13.43

Step-by-step explanation:

Law of Sines

x/sin50 = 12/sin42

solve for x and don't forget to put calculator into degree mode

Answer:

[tex]AB\approx13.7cm[/tex] to the nearest  tenth.

Step-by-step explanation:

We know two angles and a given side, we can use the sine rule to find the required length.

[tex]\frac{AB}{\sin(50\degree)}=\frac{12}{\sin(42\degree)}[/tex]

We solve for the AB by multiplying both sides by [tex]\sin(50\degree)[/tex].

This implies that;

[tex]AB=\frac{12}{\sin(42\degree)}\times \sin(50\degree)[/tex]

[tex]AB=13.738[/tex]

[tex]AB\approx13.7cm[/tex] to the nearest  tenth.

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