Question

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

Answer 1

Answer:

tanΘ = $\frac{4}{3}$

Step-by-step explanation:

tanΘ = $\frac{opposite}{adjacent}$

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 = $\sqrt{256}$ = 16

then

tanΘ = $\frac{16}{12}$ = $\frac{4}{3}$