Tower pt. 1

Tower pt. 1
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  • Fred is a tower repair man. He notices that there is a loose screw on the tower. he wants to know how high up it is. he knows that from him to the screw the distance is 25 feet, and the angle from the ground to the nail is 30 degrees. he finds out that through sine that x= 25sin30, and that the nail is 12.5 feet high
  • Once Fred fixes the first screw he sees another one 5 feet below him. he wants to know how far over it is. he knows that the angle between x and the hypotenuse is 60 so he concludes that x=5tan60 and therefore x= 8.7.
  • Once Fred thinks he is finally done fixing the tower he sees yet another loose screw. He knows that the length across the tower from him to the screw is 15 feet. he wants to know how far away it is directly form his viewpoint. he knows the angle between the the horizontal length between him and the screw, and the hypotenuse of the triangle he has created is 45 degrees. he figures that 15cos45 will give him the length he wants. he finds that x=10.6
  • Once Fred is done fixing all of the screws he feels that it is a bit dark outside. He looks up and realizes the light at the very top of the tower has gone out! he knows that he is 12 feet from the middle of the tower, and the light bulb in 30 feet from the bottom of the tower. he wants to know the angle of elevation to the top of the tower. he concludes that (tanx=30/12)tan-1. this tells him that the angle is 68.2 degrees.
  • As Fred is fixing the towers light, he loses his grip on the light bulb and it falls to the ground. Fred is now curious what the angle of depression is between him and the light bulb. Fred knows that the exact distance between him and the light bulb is 35 feet, and the distance from of the light bulb from the middle of the tower is 18 feet. Fred creates this equation to find his missing piece, (sinx=18/35)sin-1. He finds out that the angle of the depression is 30.9 degrees.
  • Fred has finally finished fixing the tower!
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