SOLUTION: The angle of elevation to the top of a building in New York is found to be 13 degrees from the ground at a distance of 1 mile from the base of the building. Using this information,

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Question 1203327: The angle of elevation to the top of a building in New York is found to be 13 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. (Round your answer to four decimal places.)
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
.
The angle of elevation to the top of a building in New York is found to be 13 degrees
from the ground at a distance of 1 mile from the base of the building.
Using this information, find the height of the building. (Round your answer to four decimal places.)
~~~~~~~~~~~~~~~~~~~~~ 

1 mile = 5280 feet.


tan(13°) = H%2FD = H%2F5280.


H = 5280*tan(13°) = 5280*0.23086819112 = 1218.984 feet = 1219 feet (rounded).    ANSWER

Solved, by applying simplest trigonometry.


        It is a kind of madness to request four decimal places in such problem.



Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
My comment is that perhaps instead of 'four decimal places,', your instructor
meant 'four significant digits', in which case the answer was 1219 feet.  
Perhaps you need to review the difference between 'number of decimal places'
and 'number of significant digits".  

Edwin