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A building is 562 feet tall. an 82 degree shadow is cast. What is the shadows length?
a building is 562 feet tall. When the sun is shining a certain time of day, the sunlight strikes the ground over the top of the building making an angle with the ground of 82 degrees. the building casts a shadow from its base to that point where the sunlight strikes the ground. What is the length of the shadow? Show work.
1 Answer
- 8 years ago
Hey I like this type of problems.. so I give you a complete solution, drew it by paint lol
here it is:
http://i40.tinypic.com/kf1cm0.jpg
As you may see in the picture the shadow has formed a triangle (painted green) with the building.. and by simple geometry:
tan(82) = 562/L
L = 79 ft
Source(s): http://i40.tinypic.com/kf1cm0.jpg
