SOLUTION: The statue of Liberty stands on a 150 ft. pedestal. From a point 280 ft. from the base of the pedestal, the angle of elevation to the top of Liberty's torch is 47 degrees. Find the

Algebra ->  Formulas -> SOLUTION: The statue of Liberty stands on a 150 ft. pedestal. From a point 280 ft. from the base of the pedestal, the angle of elevation to the top of Liberty's torch is 47 degrees. Find the      Log On


   

Question 202026: The statue of Liberty stands on a 150 ft. pedestal. From a point 280 ft. from the base of the pedestal, the angle of elevation to the top of Liberty's torch is 47 degrees. Find the height of the statue.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The statue of Liberty stands on a 150 ft. pedestal. From a point 280 ft. from the base of the pedestal, the angle of elevation to the top of Liberty's torch is 47 degrees. Find the height of the statue.
.
Draw a diagram of the problem.
Doing so, you will see that you have a right triangle -- given "adajacent side" and "angle" -- applying trig relationship, we have:
.
Let x = height of the statue
then
tan(47) = (x+150)/280
280tan(47) = x+150
150.263 ft = x