SOLUTION: A library is 46.5 feet tall. It casts a shadow of 8.2 feet. What is the sun's angle of elevation? I don't understand how to find the elevation. My teacher has gone over it and

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A library is 46.5 feet tall. It casts a shadow of 8.2 feet. What is the sun's angle of elevation? I don't understand how to find the elevation. My teacher has gone over it and       Log On

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Question 585914: A library is 46.5 feet tall. It casts a shadow of 8.2 feet.
What is the sun's angle of elevation?
I don't understand how to find the elevation. My teacher has gone over it and I have asked for help, but I still don't get it.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The angle of elevation is

arctan(46.5/8.2) = 79.999 or about 80 degrees

The reason why I'm using the arctangent function is because the tangent of this unknown angle is equal to the ratio or quotient of the opposite side (46.5) divided by the adjacent side (8.2). We must use the arctangent to find the unknown angle (since it "undoes" the tangent function)
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