Respuesta :

sqdancefan
tan(elevation angle) = (tree height)/(shadow length)
tan(20°) = (tree height)/(200 ft)
(tree height) = (200 ft)*tan(20°) ≈ 72.8 ft
david8644

Answer:

72.8 ft

Step-by-step explanation:

In order to solve this, you have to use the law of sines, the shadow cast would be the opp side to the 20º angle that you the have over the tree and the height of the tree so we would use tan to solve this:

[tex]tan=\frac{opp}{adj}[/tex]

So we clear Height from the equation:

[tex]tan20=\frac{Height}{200}\\ Height=200ft*tan20 \\Height=200ft*0.36397\\Height=72,8 ft[/tex]

So now we know that the height of the tree would be 72,8 feet.

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