Question

5 A B B 3 C Find tan(B) in the triangle.

Answer 1

We will solve as follows:

*We will use the law of sines to determine the value of beta, that is:

`(3)/(\sin(\beta))=(5)/(\sin (90))`

Now, we solve for beta:

`\Rightarrow\sin (\beta)=(3\sin(90))/(5)\Rightarrow\sin (\beta)=(3)/(5)`
`\Rightarrow\beta=\sin ^(-1)((3)/(5))`
`\Rightarrow\tan (\beta)=(3)/(4)`