Respuesta :

the answer is 
tan30 = b/8
b=8tan30

In a  right angle triangle the three sides are represented by the letters a, b and c .

a represents the side adjacent with given angle .

b represents the side opposite to the given angle.

c represents the hypotenuse of the triangle .

Check the attached image for clear picture of the right angle triangle with angle 30 degrees .

Using the trigonometric ratio we can write the ratio as

[tex]\frac{b}{a} = tan(30^0)[/tex]

Multiplying both sides by a , we get

[tex]b =a * tan(30^0)[/tex]

since a=8 so

[tex]b = 8* tan(30^0)[/tex]

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