A pole tilts 12 degrees from the vertical, away from the sun, casts a 34 foot long shadow on level ground. The angle of elevation from the end of the shadow to the top of the pole is 64 degrees. How long is the pole?

Answer 1

Using the Law of Sines,

L / sin64 = 34 / sin(90-12),
L / sin64 = 34 / sin78,
Multiply both sides by sin64:
L = 34sin64 / sin78 = 31.2ft = Length
of pole.

Answer 2

tan x=h/¡Ì3h
tan x=1/¡Ì3
tan x=30¡ã
the angle of elevation is 30¡ã