The height of an inaccessible mountain peak, C, in Figure 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 × 10^3 m, the elevation angle to C is 12.32°. The elevation of C from mountain B is 22.73°. Mountain B is 1.00 × 10^2 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.
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