Question 70821cable to the top of a tower makes an angle of 31deg with the level ground. At a point 100 yards closer to the tower the angle of elevation to the top of the tower is 57deg. Estimate the length of the cable. : If the angle to the tower is 57 we know the interior angle is 180 - 57 = 123 Let that angle be A and find the side opposite which is a : The third angle, which is opposite 100 yds is: 180 - 123 - 31 = 26 degrees : Use the law of sines: {{{Sin(123)/a}}} = {{{Sin(26)/100}}} : {{{.83867/a}}} = {{{.43837/100}}} : Cross multiply: .43837a = .83867*100 : a = {{{83.867/.43837}}} : a = 191.3 yds