SOLUTION: You have collected data on several buildings. For each building, you are given the angle of the line of sight up to the top of the building, and the distance to the building. Cal

Algebra ->  Angles -> SOLUTION: You have collected data on several buildings. For each building, you are given the angle of the line of sight up to the top of the building, and the distance to the building. Cal      Log On


   

Question 75256: You have collected data on several buildings. For each building, you are given the angle of the line of sight up to the top of the building, and the distance to the building. Calculate the height of each building.
Building 2 Angle 45ｺ Distance 10 meters
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!

You have collected data on several buildings. 
For each building, you are given the angle of 
the line of sight up to the top of the 
building, and the distance to the building. 
Calculate the height of each building. 
Building 2 Angle 45ｺ Distance 10 meters

                      _______
                     ､|Bldg 2|
                   ､  |      |
                 ､    |h     | 
               ､      |      | 
             ､ 45ｰ    |Bldg 2|
            ｯｯｯｯ10mｯｯ ｯｯｯｯｯｯ

In this case is obvious the height of the
building is ALSO 10 meters. But to show it 
worked out, let h represent the height of 
the building.  Then
 
           adjacent
tan45ｰ = 覧覧覧覧覧覧  
          hypotenuse

          10 
tan45ｰ = 覧覧
           h

             10 
        1 = 覧覧
              h

Multiply both sides by h and you get

        h = 10 meters
Edwin