Buoys $M$, $N$ and $R$ are on horizontal water. $M$ is at a bearing of $038^\circ$ from \(

Question

Buoys $M$, $N$ and $R$ are on horizontal water. $M$ is at a bearing of $038^\circ$ from $N$, while $R$ is at a bearing of $132^\circ$ from $M$. $MN=72\text{ m}$ and $MR=55\text{ m}$. Give non-exact numerical answers correct to $3$ significant figures. Find the bearing of $N$ from $M$.[1] Find the area of triangle $MNR$.[2] Find $NR$.[2] Find $\angle MRN$.[2] A patrol launch travels directly from $N$ to $R$. Find the shortest distance between the launch and $M$ during the journey.[2]

Accepted Answer

(a) $218^\circ$ (b) $1980\text{ m}^2$ (c) $87.5\text{ m}$ (d) $55.2^\circ$ (e) $45.1\text{ m}$

Solution:

Typed Solution