Question

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=76°, and KL = 27 feet. Find the length of MK to the nearest tenth of a foot.

Answer 1

Answer:

6.5 ft ft

Step-by-step explanation:

Angle L will be 180-90-76=14

Using the sine rule $\frac {A}{sina}=\frac {B}{sinb}=\frac {C}{sinc}$

Relating to the above set up

$\frac {ML}{sin76}=\frac {27}{sin90}=\frac {KM}{sin14}$

Taking only the first two parts then

$\frac {MK}{sin14}=\frac {27}{sin90}\\MK=\frac {27sin14}{sin90}=6.53189118119109ft\approx 6.5 ft$

Therefore, rounded off to the nearest tenth, distance will be 6.5 ft