SOLUTION: a building 280 feet tall casts a 30 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building. what is the angle of the person's eyes to

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Question 1156232: a building 280 feet tall casts a 30 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building. what is the angle of the person's eyes to the top of the building, in degrees. assume the person's eye are 5 feet above ground level
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a building 280 feet tall casts a 30 foot long shadow.
if a person stands at the end of the shadow and looks up to the top of the building. what is the angle of the person's eyes to the top of the building, in degrees.
assume the person's eye are 5 feet above ground level
:
Let's just move the right triangle up 5 ft, then the building is 275' above the observer,
but still 30' from the base
:
The tangent of the angle (A) of the observer's eyes to the top of the building:
tan(A) = 275%2F30
A = 83.77 ~ 84 degrees