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-
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-> 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-
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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):
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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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