SOLUTION: The angle of elevation to the top of a building in Baltimore is found to be 4 degrees from the ground at a distance of 1 mile or 5,280 feet from the base of the building. Using thi

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Question 1157151: The angle of elevation to the top of a building in Baltimore is found to be 4 degrees from the ground at a distance of 1 mile or 5,280 feet from the base of the building. Using this information, find the height of the building in feet. Round your answer to the nearest foot.


Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Draw this
there is a right triangle with leg 1 mile, height x miles, and elevation 4 degrees.
This is the tangent function
tan 4=x/1
x=tan 4 or 0.0699 miles (units)
multiply by 5280
=369.21 or 369 feet.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
The angle of elevation to the top of a building in Baltimore is found to be 4 degrees from the ground at a distance of 1 mile or 5,280 feet from the base of the building. Using this information, find the height of the building in feet. Round your answer to the nearest foot.
Let height of building be x

Then we get:  

Height of building, or