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The length of a shadow of a tree is 74 feet. If the angle of elevation from the end of the shadow to the top of the tree is 28º, find the height of the tree to the nearest foot.
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The length of a shadow of a tree is 74 feet. If the angle of elevation from the end of the shadow to the

top of the tree is 28º, find the height of the tree to the nearest foot.

User Skimedic
by
8.4k points

1 Answer

7 votes
Answer: ~39.3 ft
Solution:
Soh, Cah, Toa
Angle of elevation—28 degree
Adjacent (shadow)—74 ft
Opposite (tree)—? ft
Tan(angle)=o/a
Tan(28)=o/74
Tan(28)*74=o
o=~39.3ft
User El Cheicon
by
9.0k points
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