SOLUTION: A 6 foot tall person casts a shadow that is 6.7 feet long. At what angle, to the nearest degree, is the sun above the horizon?
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Question 835143: A 6 foot tall person casts a shadow that is 6.7 feet long. At what angle, to the nearest degree, is the sun above the horizon?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A 6 foot tall person casts a shadow that is 6.7 feet long. At what angle, to the nearest degree, is the sun above the horizon?
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Draw the picture.
You have a right triangle with altitude = 6 ft and base = 6.7 ft.
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The angle opposite the 6 ft side is theta.
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Equation:
sin(theta) = 6/6.7 = 0.8955
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Ans: theta = arcsin(0.8955) = 63.58 degrees
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Cheers,
Stan H.
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