2 Answers

Mtanti · Answer 1 · 2021-04-07T23:27:53+0000

Answer:

34.0 m

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

$\frac {m}{sin M}=\frac {l}{sin L}=\frac {k}{sin K}$

By substituting 160 for m, 145° for M and 7° for L then

$\frac {160}{sin 145^(\circ)}=\frac {l}{sin 7^(\circ)}$

Making l the subject then

$l=\frac {160 sin 7^(\circ)}{sin 145^(\circ)}=33.9956345990643m\\l\approx 34.0m$

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