Question

Find AD.

Answer 1

In ΔABC, 

∠ACD = ∠ABC + ∠BAC

And ∠ABC = ∠BAC   ...(∵ AC = BC)

∴ ∠ABC = ∠BAC

= `48^circ/2`

= 24°

Now,

`(AD)/(AB) = sin 24^circ`

`=>` AD = 30 × 0.4067

= 12.20 m