SOLUTION: if a person is 200ft from a building and the angle of elevation to the top of the building is 60degrees what is the height of the building.thanks for any help i may recieve

Algebra ->  Angles -> SOLUTION: if a person is 200ft from a building and the angle of elevation to the top of the building is 60degrees what is the height of the building.thanks for any help i may recieve      Log On


   

Question 287252: if a person is 200ft from a building and the angle of elevation to the top of the building is 60degrees what is the height of the building.thanks for any help i may recieve
Answer by KathyWat3377(2) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a picture. Dude standing 200 ft away (horizontal line) from a building (vertical line) creates a 90 angle between the ground and the building. The hypotenuse creates a 60 degree angle to the ground.
Then, use basic SOHCAHTOA (let me know if you don't know what that is) and choose "TOA" tan x = opposite/adjacent (or, in layman's terms, height of building/how far away dude is standing).
So your answer is tan 60=height/200. If you know the unit circle, you know tan+60=sqrt%283%29. If you don't know the unit circle, use your calculator.
tan 60 = height/200
sqrt%283%29=height%2F200
200%2Asqrt%283%29=height
approximately 346.41 ft tall