Question

I need help. Find the ratio of the trig function.

Answer 1

tanΘ =
`(4)/(3)`

Explanation:

tanΘ =
`(opposite)/(adjacent)`

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x =
`√(256)` = 16

then

tanΘ =
`(16)/(12)` =
`(4)/(3)`