SOLUTION: A billboard is on top of a building. You are 134.9 feet from the building. You measure the angle of elevation of the bottom of the billboard as 39.4 degrees and the angle of elevat

Question 446376: A billboard is on top of a building. You are 134.9 feet from the building. You measure the angle of elevation of the bottom of the billboard as 39.4 degrees and the angle of elevation of the top of the billboard as 47degrees. How tall is the billboard?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let bill board height be x
building height =y
Tan 47 = (x+y)/134.9
Tan 39.4 = y/134.9
Tan 47-Tan 39.4 = (x+y)/134.9 - y/134.9
Tan 47-Tan39.4 = x/134.9
x= 134.9(Tan 47-tan39.4)
x= 33.85 feet
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