A short-wave radio antenna is supported by two guy wires, 165 ft and 180 ft long. Each wire is attached to the top of the antenna and anchored to the ground, at two anchor points on opposite sides of the antenna. The shorter wire makes an angle of 66° with the ground. How far apart are the anchor points? (Round your answer to the nearest foot.)
please show pic too

Question

A short-wave radio antenna is supported by two guy wires, 165 ft and 180 ft long. Each wire is attached to the top of the antenna and anchored to the ground, at two anchor points on opposite sides of the antenna. The shorter wire makes an angle of 66° with the ground. How far apart are the anchor points? (Round your answer to the nearest foot.)
please show pic too

anonymous · Answer

|dw:1376005142621:dw|$$h=165 \sin 66^o$$$$\theta = \sin^{-1}(\frac{h}{180})$$$$d=165 \cos 66^o+180 \cos \theta$$After a little calculation and substitution, this ought to get you there.