Ms hunt is standing on top of the building that is 135m tall. The angle of depression to the top of the building next door is 71 degrees. The angle of depression to the base of the building is 77degrees. The buildings are 31m apart. How tall is the other building

1 answer

I assumed you made a sketch.
On mine, I labeled the position of Ms Hunt as H on top of the tall building, its base J
For the shorter building, I labeled its top as P and its bottom as Q
I drew a horizontal from H to meet QP extended at R
All kinds of right-angled triangles!
Fill in all your angles.
In triangle HPR,
tan71° = RP/31
RP = 31tan71

in triangle HQR,
tan77° = RQ/31
RQ = 31tan77

then PQ = RQ - RP
=

take over