SOLUTION: betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? (In a 30-

Question 62052: betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? (In a 30-60-90 right triangle, the side opposite 30 is 1/2 the length of the hypotenuse.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!

The base of the triangle is 8. The bottom left angle is 60 degrees. You want the know the opposite side.
tan(60 degrees) = x/8
8*tan(60 degrees) = x
The lamp post is about 13.86 feet.
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