Question

Use the given triangle to find the trig ratio.

Answer 1

`\tan = (opposite)/(adjacent)`

THE OPPOSITE SIDE OF THE ANGLE IS THE ONE WITH MAGNITUDE 6 AND THE ADJACENT SIDE OF THE ANGLE IS THE ONE WITH MAGNITUDE 8

PLUG IN THE VALUES NOW FROM THE FORMULA

`\tan( \alpha ) = (6)/(8) \\ \tan( \alpha ) = (3)/(4)`

I hope this helps

Answer 2

tan θ =
`(3)/(4)`

Explanation:

tan θ =
`(opposite)/(adjacent)` =
`(6)/(8)` =
`(3)/(4)`