Question

求过程！要详细！

Answer 1

解：容易求出∠CAB=53°-23°=30°

                     ∠C=22°+23°=45°

                     ∠CBA=105°

       sin105°=sin(45°+60°)

                   =sin45°cos60°+cos45°sin60°

                   =√2/2·1/2+√2/2·√3/2

                   =√2(√3+1)/4

      根据正弦定理得：

          AC/sin60°=BC/sin30°

      所以AC=sin60°·BC/sin30°

                  =√2(√3+1)/4·10/(1/2)

                  =5√2(√3+1)

                  ≈19（海里）