SOLUTION: What would be the height of a tree casting a 50 metre shadow with the sun at 36 degrees ?

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Question 535587: What would be the height of a tree casting a 50 metre shadow with the sun at 36 degrees ?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!

The vertical height of the tree and the horizontal shadow are the legs of a right triangle with a 36 degree angle at the end of the shadow.
The ratios of the lengths of the sides of right triangles are the trigonometric ratios. The one useful here is
tangent=oppositeside%2Fadjacent+side
The tangent of 36 degrees can be found through tables, calculators, or computer programs. You have to be careful because there are different units for measuring angles, so you have to make sure that you and your calculator (or table, or computer) are talking in the same units.
tan%2836degrees%29=0.737
Since the shadow was adjacent to that angle and the tree height was across/opposite,
0.737=height%2F50m---> height=+0.737%2A50m=37m