document.write( "Question 984272: A 26 ft crane is raised vertically through an angle of 42 degrees and is then revolved horizontally through 73 degrees. How far did the tip move in the two movements? \n" ); document.write( "
Algebra.Com's Answer #605058 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "I take it is the jib of the \n" ); document.write( "crane is moving. \n" ); document.write( "Consider a right angled triangle \n" ); document.write( "The jib is 26ft and using trigonometric \n" ); document.write( "ratios. \n" ); document.write( "Sin = Opposite/Hypotenuse \n" ); document.write( "Sin 42 = Opposite/26 ft \n" ); document.write( "So, opposite = 26 x Sin 42 \n" ); document.write( "Opposite (distance moved) \n" ); document.write( "= 17.4ft (1 decimal place) \n" ); document.write( "Now consider another right \n" ); document.write( "angled triangle. \n" ); document.write( "Once again we use: \n" ); document.write( "Sin = Opposite/Hypotenuse \n" ); document.write( "Sin73 = Opposite/26 \n" ); document.write( "Opposite (Distance moved) \n" ); document.write( "= 26 x Sin 73 \n" ); document.write( "= 24.9 ft \n" ); document.write( "Totalled = 17.4 + 24.9 \n" ); document.write( "= 42.3 feet. \n" ); document.write( "Hope this helps:-) \n" ); document.write( " |