SOLUTION: A 34-foot ladder leaning against a wall makes an angle of 60 with the ground. To the nearest foot, how high up the wall does the ladder reach? Height above ground:

Algebra ->  Triangles -> SOLUTION: A 34-foot ladder leaning against a wall makes an angle of 60 with the ground. To the nearest foot, how high up the wall does the ladder reach? Height above ground:       Log On


   



Question 1172846: A 34-foot ladder leaning against a wall makes an angle of 60 with the ground. To the nearest foot, how high up the wall does the ladder reach?
Height above ground:

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
this is a 30-60-90 right triangle where the ladder is the hypotenuse.
hypotenuse is 34, and the short side is 1/2 the hypotenuse in this type of triangle, and that is the distance from the wall or 17 feet.
The height is 17*sqrt(3) ft, or 29.45 feet or 29 feet.