document.write( "Question 373442: A 60-footpiece of wire is strung between the top of a tower and the ground, making a 30-60-90 triangle. How far from the center of the base of the tower is the wire attached to the ground?How high is the tower? \n" ); document.write( "
Algebra.Com's Answer #266055 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A 60-footpiece of wire is strung between the top of a tower and the ground, making a 30-60-90 triangle. \n" ); document.write( "How far from the center of the base of the tower is the wire attached to the ground?How high is the tower? \n" ); document.write( ": \n" ); document.write( "Assume the 30 degree angle is wire angle to the ground \n" ); document.write( "The guy wire is the hypotenuse (60 ft) \n" ); document.write( "the side adjacent is the distance (d) from the tower to the tie point on the ground \n" ); document.write( "the opposite side the height (h) of the tower \n" ); document.write( ": \n" ); document.write( "Use the sine of the angle to find the height of the tower; sin(a) = \n" ); document.write( "sin(30) = \n" ); document.write( "60*.5 = h \n" ); document.write( "h = 30 ft is the height of the tower \n" ); document.write( ": \n" ); document.write( "Use the cosine to find d; cos(a) - \n" ); document.write( "cos(30) = \n" ); document.write( "60 * .866 = d \n" ); document.write( "d = 52 ft distance from tower to tie point \n" ); document.write( " \n" ); document.write( " |