Question 337340
let h="initial height of balloon" and d="Pat to John distance"


d/h = tan(62º) ___ d/tan(62º) = h


d(h+34) = tan(55º)


substituting ___ d{[d/tan(62º)]+34} = tan(55º) ___ (d^2)/tan(62º) + 34d = tan(55º)


d^2 + 34[tan(62º)]d = [tan(55º)][tan(62º)] ___ d^2 + 34[tan(62º)]d - [tan(55º)][tan(62º)] = 0


use quadratic formula to find d