Flag pole erected and held in place by 3 wires. one wire is at the angle of 72° to ground and others 55° what is total length of wire?
+118723 Flag pole erected and held in place by 3 wires. one wire is at the angle of 72° to ground and others 55° what is total length of wire?
Let the flag pole be h tall
Let the wire lengths be L1, L2, and L3 (L2=L3)
\(sin72=\frac{h}{L1}\qquad sin55=\frac{h}{L2}\\ L1=\frac{h}{sin72} \qquad L2=L3=\frac{h}{sin55}\\ ...\\ L1+L2+L3=\frac{h}{sin72}+2*\frac{h}{sin55}\\ total\;\; length=\frac{h}{sin72}+\frac{2h}{sin55}\\ total\;\; length=h[\frac{1}{sin72}+\frac{2}{sin55}]\\ total\;\; length\approx 3.493\;h\\\)
