SOLUTION: Edward wants to measure the height of a building. He walks exactly 80 feet from the base of the building and turns to look up at the top of it. The angle of elevation from Edward's

Algebra ->  Triangles -> SOLUTION: Edward wants to measure the height of a building. He walks exactly 80 feet from the base of the building and turns to look up at the top of it. The angle of elevation from Edward's      Log On


   

Question 1062231: Edward wants to measure the height of a building. He walks exactly 80 feet from the base of the building and turns to look up at the top of it. The angle of elevation from Edward's eyes to the top of the building is 47°. If Edward's eyes are at a height of 5 feet, approximately how tall is the building? Round your answer to the nearest hundredth.
The building is approximately __________ feet tall.
Enter your answer as the correct value rounded to the nearest hundredth, like this: 42.53
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
y, how tall the building
y-5, side of a rectangle
80, one leg of a right triangle

You are interested in the right triangle with legs y-5, 80, and angle at the other end of the rectangle and ABOVE it, of 47 degrees.

tan%2847%29=%28y-5%29%2F80


80%2Atan%2847%29=y-5

highlight%28y=80%2Atan%2847%29%2B5%29