Answer:
34.0 m
Step-by-step explanation:
The total angle sum in a triangle should be 180° hence the missing angle will be given by
180°-145°-28°=7°
Using sine rule
[tex]\frac {m}{sin M}=\frac {l}{sin L}=\frac {k}{sin K}[/tex]
By substituting 160 for m, 145° for M and 7° for L then
[tex]\frac {160}{sin 145^{\circ}}=\frac {l}{sin 7^{\circ}}[/tex]
Making l the subject then
[tex]l=\frac {160 sin 7^{\circ}}{sin 145^{\circ}}=33.9956345990643m\\l\approx 34.0m[/tex]
