Posted by **Chloe Mack** on Sunday, January 30, 2011 at 7:52pm.

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?

- Pre-Calculus-Trig -
**Henry**, Monday, January 31, 2011 at 9:46pm
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.

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