Which expression is equivalent to HI The diagram is not draw

Which expression is equivalent to HI? The diagram is not drawn to scale. GH sin 70 degree GH cos 20 degree GH/tan 20 degree GI/tan 20 degree

The external angle is 160

So, corresponding internal angle I = 180 -160 = 20

So, we have <I = 20
and we have to find HI

So, we could use tan...

tan(20) = opp/adj

tan(20) = GH / HI

So, HI * tan(20) = GH

So, HI = GH / tan(20)

Option C