In front of the United Nations building in New York, one of the flags is on a pole 80 feet tall. It casts a shadow 16 feet long. At the same time of the day, another flag casts a shadow 18 feet long. How tall is the other flag?

Respuesta :

[tex]\begin{gathered} \tan x=\frac{opposite}{adjacent} \\ \tan x=\frac{80}{16} \\ \tan x=5 \\ x=\tan ^{-1}(5) \\ x=79^o \end{gathered}[/tex]

SImilarly, another flag is raised at that same position sharing the same angle of depression as the formal flag

[tex]\begin{gathered} \tan 79=\frac{h}{18} \\ h=18\tan 79 \\ h=92.6ft \end{gathered}[/tex]

The height of the other flag is 92.6ft

Ver imagen KiptonR440847
Ver imagen KiptonR440847