Respuesta :

You will use the Law of Sines. So first you'll need to find Angle A. To do this, you will need to add up the other angles and subtract them from 180. 70 + 80=150, and 180-150 equals 30, so Angle A equals 30. So now the formula to find c is sin 30/15=sin80/c. Cross multiply and divide by sin 30 on both sides to get c by itself. I ended up with 29.5, rounded up to 30 as my answer for c. 
ashishdwivedilVT

The value of side c is 29.4

What is sine law?

sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

Here, B = 70⁰ , C =80⁰ then A = 30⁰

a = 15

Now, By Sine law

[tex]\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}[/tex]

[tex]\frac{sin A}{a} = \frac{sin C}{c}[/tex]

[tex]c = a. sin C/sin A[/tex]

[tex]c = 15 . sin 80^0 / sin 30^0[/tex]

c = 15 X 0.98 X 2

c = 29.4

Thus, the value of side c is 29.4 units.

Learn more about sine law from:

https://brainly.com/question/17289163

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