SOLUTION: Betty observed that the lamp post in front of her house casts 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 3

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Question 84600: Betty observed that the lamp post in front of her house casts 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 one-half the length of the hypotenuse.)
Answer by Flake(45) About Me  (Show Source):
You can put this solution on YOUR website!
---1st hint is that use a 30-60-90 triangle.
Draw and 30-60-90 triangle
length of Shadow is 8 feet when the angle of inclination of the sun is 60.
This means base of your triangle is 8 and 60 degree is on bottom and 30 degree is on top.
---2nd hint is the side opposite 30 degrees is one-half the length of the hypotenuse.
Hypotenuse = C
So C/2 = 8
---Now solve with a%5E2+%2B+b%5E2+=+c%5E2+