VickieR494989 VickieR494989
  • 04-11-2022
  • Mathematics
contestada

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

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 class=

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KadynW652368 KadynW652368
  • 04-11-2022

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]

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