SOLUTION: a 5 foot emma student casts an 8 foot shadow. how high is the sun in the sky? this is another way6 to ask the angle of elevation of the sun. my answer was 32.0053821 degrees b

Question 147839: a 5 foot emma student casts an 8 foot shadow. how high is the sun in the sky? this is another way6 to ask the angle of elevation of the sun.

my answer was 32.0053821 degrees but i'm not sure if i'm right. thanks for the help!
Found 2 solutions by Earlsdon, Alan3354:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can form a right triangle whose height, h, = 5 ft, and whose base is 8 ft.
The angle, A, of elevation would be the angle between the base of the right triangle and the hypotenuse.
The tangent of this angle is the side opposite the angle over the side adjacent to the angle, so...

To find the angle A, take the arctangent.

degrees.
Your answer is good!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The angle is the inverse tangent of ht/length (measured from the plane of the earth).
tan(A) = 5/8
angle A = what you have.
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