A surveyor sets up her theodolite on horizontal ground, at a point O, and observes the top of a church spire, as illustrated in Figure 4.3. Relative to axes Oxyz, with Oz vertical, the surveyor measures the angles ∠TOx = 66° and ∠TOz = 57°. The church is known to have height 35 m. Find the angle ∠TOy and calculate the coordinates of T with respect to the given axes.

Figure 4.3