The height of an inaccessible mountain peak, C, in Fig. 4.14 must be estimated. Fortunatel...

The height of an inaccessible mountain peak, C, in Fig. 4.14 must be estimated. Fortunately, two smaller mountains, A and B, which can be easily scaled, are located near the higher peak. To make matters even simpler, the three peaks lie on a single straight line. From the top of mountain A, altitude 2.000 × 103 m, the elevation angle to C is 12.32°. The elevation of C from mountain B is 22.73°. Mountain B is 1.00 × 102 m higher than A. The straight line (slant) distance between peaks A and B is 3.000 × 103 m. Determine the unknown height of mountain C.

Figure 4.14