Question

In ΔKLM, m = 59 cm, ∠L=111° and ∠M=60°. Find the length of l, to the nearest centimeter.

Answer 1

Answer:

64 (or 63.6)

Step-by-step explanation:

You can figure out the <K by adding the first two angles (111+60) and getting 171 (subtracting that from 180 gives you a 9-degree angle for <K

Given three angles and 1 side, you can calculate the sides as follows:

k=m*sin (K) / sin (M) = 10.65

l=m*sin (L) / sin (M) = 63.60234

Since you're solving for l, the steps would be:

l=59 * sin (111) / sin (60)

l=59 * (0.934) / (0.866)

l=55.106 / 0.866

l=63.63

Hope this helps!