pls help hw trig questions

Question

From the top floor of one building, the angle of elevation to a taller building is 20°, and the angle of depression to the bottom of the taller building is 35°.  If the two buildings are 12 meters apart, how tall is each building? Draw a labelled diagram, then solve.

Answer 1

Let H be the height of the taller building and h be the height of the other building.

(H-h)/12=tan20, h/12=tan35, so H-h=12tan20, h=12tan35=8.40m approx.

H=12(tan20+tan35)=12.77m approx.

Height of tall building is BC=12.77m, height of smaller building is 8.40m (approx figures).

Answer 2

Here is your solution,

https://ibb.co/pnJPcmD