Ta có: \(\widehat{AMB}=\widehat{MBN}-\widehat{MAB}\Leftrightarrow\widehat{AMB}=45^0-30^0=15^0\)
Áp dụng định lý sin cho △ MAB có:
\(\dfrac{MB}{sin30^0}=\dfrac{AB}{sin15^0}\Rightarrow MB=\dfrac{AB.sin30^0}{sin15^0}=\dfrac{1180.sin30^0}{sin15^0}\approx2279,58\left(m\right)\)
Xét tam giác vuông MBN có:
\(sin45^0=\dfrac{MN}{MB}\Rightarrow MN=MB.sin45^0\approx2279,58.sin45^0\approx1611,91\left(m\right)\)