Question

Find angle 'x' if :

Answer 1

The above figure we have

tan 60° = `(30)/"AD"`

`sqrt(3) = (30)/"AD"`

AD = `(30)/(sqrt(3)`

Again

sin x = `"AD"/(20)`
AD = 20 sin x

Now

20 sin x = `(30)/sqrt(3)`

sin x = `(30)/(20sqrt(3)`

sin x = `sqrt(3)/(2)`

sin x = sin 60°
x = 60°