(Modeling) Fundamental Surveying Problem The first fundamental problem of...

(Modeling) Fundamental Surveying Problem The first fundamental problem of surveying is to determine the coordinates of a point Q given the coordinates of a point P, the distance between P and Q, and the bearing θ from P to Q. See the figure. (Source: Mueller, I. and K. Ramsayer, Introduction to Surveying, Frederick Ungar Publishing Co.)

(a) Find a formula for the coordinates (x_Q , y_Q) of the point Q given θ, the coordinates (x_P , y_P) of P, and the distance d between P and Q.

(b) Use your formula to determine (x_Q , y_Q) if (x_P , y_P) = (123.62, 337.95) , θ = , and d = 193.86 ft.