SOLUTION: A 20-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an 85 degree angle with the ground. Find the height of the ballon.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A 20-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an 85 degree angle with the ground. Find the height of the ballon.      Log On

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Question 130235: A 20-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an 85 degree angle with the ground. Find the height of the ballon.
Answer by scott8148(5891) About Me  (Show Source):
You can put this solution on YOUR website!
the line and the height of the balloon are two sides of a right triangle
__ the distance between the anchor point of the line and a spot directly under the balloon forms the 3rd side

the line is the hypotenuse and the height is opposite the 85° angle

let x=height __ so sin(85°)=x/20 __ 20(sin(85°))=x