Two guy wires from the top of a 800-foot radio antenna are anchored to the ground by two large concrete posts. The antenna is perpendicular to the ground and between the two posts. If the angles of depression from the top of the antenna to each of the posts is 48o and 50o respectively, then the distance between the two posts .

Length between two posts = 1391.602940 ft

Step-by-step explanation:

Attached to this answer is an attached file showing an image for better understanding

Length between two posts = BC = BD + DC

Length BD and DC are found separately using SOHCAHTOA

Length BD = Tan 42 = (BD ÷ 800)  

BD = 800 x Tan 42 = 720.323235 ft

Length DC = Tan 42 = (DC ÷ 800)  

Length DC = 800 x Tan 40 = 671.279705 ft

Length between two posts = BC = BD + DC = 720.323235 + 671.279705 = 1391.602940 ft