Question Number 10265 by Tawakalitu ayo mi last updated on 31/Jan/17

From the top of a 100 m high building, a man observes the top of a tree at an angle of depression 30°. If the tree is 50 m tall, the angle of depression of the foot of the tree is viewed by the man is ?

Answered by sandy_suhendra last updated on 01/Feb/17

Commented bysandy_suhendra last updated on 01/Feb/17

△ABC⇒tan 30°=((BC)/(AB)) AB=((BC)/(tan 30°))=((50)/(0.577))=86.66 m △ABD⇒tan∠BAD=((BD)/(AB))=((100)/(86.66))=1.154 ∠BAD=49° (depression of the foot of the tree)

Commented byTawakalitu ayo mi last updated on 01/Feb/17

I really appreciate sir. God bless you.

Commented byTawakalitu ayo mi last updated on 01/Feb/17

please how is BC = 50

Commented byTawakalitu ayo mi last updated on 01/Feb/17

i got it now sir. BC = 100 − 50 BC = 50 m