SOLUTION: A LADDER 6.5 M LONG LEANS AGAINST A WALL , TOUCHING THE WINDOW SILL , AND MAKES AN ANGLE OF 62 WITH THE GROUND . FIND THE HEIGHT OF THE WINDOW SILL ABOUT THE GROUND . HOW FAR IS TH

Algebra ->  Trigonometry-basics -> SOLUTION: A LADDER 6.5 M LONG LEANS AGAINST A WALL , TOUCHING THE WINDOW SILL , AND MAKES AN ANGLE OF 62 WITH THE GROUND . FIND THE HEIGHT OF THE WINDOW SILL ABOUT THE GROUND . HOW FAR IS TH      Log On


   



Question 1053745: A LADDER 6.5 M LONG LEANS AGAINST A WALL , TOUCHING THE WINDOW SILL , AND MAKES AN ANGLE OF 62 WITH THE GROUND . FIND THE HEIGHT OF THE WINDOW SILL ABOUT THE GROUND . HOW FAR IS THE FOOT OF LADDER FROM FOOT OF WALL
Answer by Boreal(15235) About Me  (Show Source):
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The ladder is the hypotenuse of a right triangle with one leg being the distance from the wall and the other leg being the height to the windowsill.
sin 62=x/6.5 for the height
6.5 sin 62=height=5.74 m
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The distance from the wall is cosine(distance)/hypotenuse
cos 62=y/6.5
6.5 cos 62=y=3.05 m