SOLUTION: A 12 foot ladder leans against the side of a building, making an angle of 30 degrees with the ground. To increase the reach of the ladder against the building, the ladder is moved

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: A 12 foot ladder leans against the side of a building, making an angle of 30 degrees with the ground. To increase the reach of the ladder against the building, the ladder is moved       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 67446: A 12 foot ladder leans against the side of a building, making an angle of 30 degrees with the ground. To increase the reach of the ladder against the building, the ladder is moved so that it makes an angle of 60 degrees with the ground. To the nearest tenth of a foot, how much further up the building does the ladder now reach?
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Let h1 be the height of the first reach.
sin%2830%29+=+h1%2F12 Solve for h1.
h1+=+12sin%2830%29
h1+=+12%280.5%29
h1+=+6ft.
Let h2 be the new height.
sin%2860%29+=+h2%2F12 Solve for h2.
h2+=+12sin%2860%29
h2+=+12%280.866%29
h2+=+10.39
The additional reach = h2-h2
h2-h1+=+10.39-6
Additional reach = 4.4 ft. (To the nearest tenth)