Question

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

Answer 1

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.

Step-by-step explanation:

Now consider the unit circle.

Here,

`\tan B=(opp)/(adj)`
`\begin{gathered} \tan B=(b)/(a) \\ \\ =(15√(3))/(√(15)) \end{gathered}`
`\begin{gathered} \tan B=√(3) \\ \\ \tan B=1.7320 \end{gathered}`

Final Answer:

`\tan B=1.7320`