Answer:
The buildings are 171.4 ft far apart.
Step-by-step explanation:
Height of the of the building-1 = 320 ft
Height of the of the building-2 = 200 ft
Angle of depression from building-1 to to the top of building-2 = θ = 55°
In figure attached, ABC
AB = 320 ft - 200 ft = 120 ft
BC = Distance between the buildings
[tex]\theta =\angle ABC = 55^o[/tex]
In ΔABC
[tex]\tan \theta =\frac{AB}{BC}[/tex]
[tex]\tan 55^o=\frac{120 ft}{BC}[/tex]
[tex]BC=120 ft\times \tan 55^o[/tex]
[tex]BC=171.4 ft[/tex]
The buildings are 171.4 ft far apart.
