Using a theodolite with a laser range finder, a researcher at point A locates a pair of ra...

Using a theodolite with a laser range finder, a researcher at point A locates a pair of rare birds nesting at point B and determines the direction angles θx = 53°, θy =81°, and θz = 38° and distance 224 m for a position vector from point A to B. For subsequent observations, the researcher would like to use position C, and thus while at point A, she also measures the direction angles θx = 135°, θy = 47°, and θz, = 79° and distance 507 m for a position vector from point A to C. For observation from point C, determine the direction angles and distance to the nest at B.

Figure P2.55