SOLUTION: A 6-foot tall man casts a shadow that is 12 feet long. What is the measure of the sun's angle of elevation? round to the nearest degree,

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Question 1105077: A 6-foot tall man casts a shadow that is 12 feet long.
What is the measure of the sun's angle of elevation?
round to the nearest degree,


Found 2 solutions by stanbon, rothauserc:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A 6-foot tall man casts a shadow that is 12 feet long.
What is the measure of the sun's angle of elevation?
round to the nearest degree,
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Sketch the picture.
You have a right triangle with height = 6 ft
and a base = 12 ft.
Find the angle opposite the height.
Equation:
arctan(6/12) = 26.57 degrees
Answer:: rounded to 27 degrees
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Cheers,
Stan H.
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Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we have a right triangle and the shadow length is the hypotenuse
:
sin (6/12) = sin (1/2)
:
the inverse sin function for (1/2) is 30 degrees
:
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the sun's angle of elevation is 30 degrees
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