SOLUTION: Two guy wires from the top of a 220-foot radio antenna are anchored to the ground by two large concrete posts. The antenna is perpendicular to the ground and between the two p

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Question 1078539: Two guy wires from the top of a 220-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
θ=32 degrees and ϕ=42 degrees then the distance between the two posts is
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
2 triangles are formed.

they are ABD and CBD

common side between them is BD which is perpendicular to AC where D is between A and C.

angle A is 32 degrees.

angle C is 42 degrees.

let x = distance between A and D.

let y = distance between D and C

distance between B and D is 220 feet.

tan(A) = tan(32) = opp/adj = 220/x

x = 220 / tan(32)

tan(C) = tan(42) = opp/adj = 220/y

y = 220 / tan(42)

x = 352.073696

y = 244.334753

x + y = AD + DC = AC = 596.408449

round to 4 decimal places = 596.4085