tower has 57 feet high two objects in a straight line from it are sighted at a angles of a depression of 27 degree and 40 degree 5 minute respectively. find the distance between two objects

Answer 1

If the nearer object is at distance x, and the two are distance d apart, then we have

57/x = tan27°
57/(x+d) = tan40°5'

Now just solve each euation for x, and set the two equal:

57/tan27° = 57/tan40°5' - d

Now just find d.