A guy wire reaches from the top of a 120 meter television transmitter tower to the ground. The wire makes a 63 degree angle with the ground. Find the length of the guy wire to the nearest tenth.

Question

Please explain step by step

Answer 1

the guy wire is the hypotenuse of a right triangle with height = 120 meters

120csc63 = guy wire length

cosecant = hypotenuse divided by the height = guy wire length/120 = g/120

120 x g/120 = g

120csc63 = 120/sin63 = 120/.891= 134.7 meters

Answer 2

sin(63) = 120/length of guy wire