SOLUTION: A 5'6" person walking down the street notices his shadow. If the angle of elevation from the tip of their shadow to the sun is 60°, what is the distance from the tip of the shadow

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Question 749543: A 5'6" person walking down the street notices his shadow. If the angle of elevation from the tip of their shadow to the sun is 60°, what is the distance from the tip of the shadow to the top of his head (round to 2 decimal places)?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
A 60° triangle has the ratio of base = 1/2, height = (sqr3)/2 diagonal = 1
The shadow is the base in this case or 5'6"/(sqr(3)) = 5.5/1.732 = 3.175 ft
or (3'2.1")