Question

In ΔKLM, m = 160 cm, ∠M=145° and ∠K=28°. Find the length of l, to the nearest 10th of a centimeter.

Answer 1

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

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

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

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