Triangle ABC has side length of a equals 15 B equals 15 square root three and C equals 30 inchesShow how to use the unit circle to find Tan B
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Given:
Triangle ABC has side length of a equals 15 B equals 15 square root three and C equals 30 inches.
Required:
To find the value of tanB.
Explanation:
Now consider the unit circle.
Here,
[tex]\tan B=\frac{opp}{adj}[/tex][tex]\begin{gathered} \tan B=\frac{b}{a} \\ \\ =\frac{15\sqrt{3}}{\sqrt{15}} \end{gathered}[/tex][tex]\begin{gathered} \tan B=\sqrt{3} \\ \\ \tan B=1.7320 \end{gathered}[/tex]Final Answer:
[tex]\tan B=1.7320[/tex]