Question 767166: A flagpole casts a shadow 25 feet long.
If the angle of elevation from the tip of the shadow to the top of the flagpole is 60° , find the height of the flagpole.
Give an exact number.
Answer by fcabanski(1391)   (Show Source):
You can put this solution on YOUR website! The flagpole, shadow, and a line from the far end (tip) of the shadow to the top of the flag form a 30-60-90 triangle. The side lengths of such a triangle are always in the same proportions.
Opposite 30 : x
Opposite 90: 2x
Opposite 60 : 
The shadow is opposite the 30 degree angle. We know the shadow is 25 feet long. x = 25 feet. That means the flag pole height, which is opposite the 60 degree angle, is  feet long.
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