Respuesta :

Knowing 2 of the angles, you can find angle A.
180-11-75=94.
You now know angle A is 94°
You can now use the law of sines to solve.
600/sin11°=a/sin94°
Side a is 3136.85
calculista

Answer:

[tex]a=3,136.85\ units[/tex]

Step-by-step explanation:

Step 1

Find the measure of angle A

we know that

The measure of the internal angles of a triangle is equal to [tex]180\°[/tex]

so

m∠A=[tex]180\°-11\°-75\°[/tex]

m∠A=[tex]94\°[/tex]

Step 2

Find the measure of side a

Applying the law of sines

[tex]\frac{b}{sin(B)}=\frac{a}{sin(A)}[/tex]

we have

[tex]b=600\ units, B=11\°, A=94\°[/tex]

substitute

[tex]\frac{600}{sin(11\°)}=\frac{a}{sin(94\°)}[/tex]

[tex]a=600*sin(94\°)/sin(11\°)[/tex]

[tex]a=3,136.85\ units[/tex]

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