To find the missing angle at M, we can use the Law of Cosines.
Let angle LMN be x.
Using the cosine rule, we have:
215^2 = 181^2 + 203^2 - 2 * 181 * 203 * cos(x)
46225 = 32761 + 41209 - 147146 * cos(x)
46225 = 73970 - 147146 * cos(x)
70945 = -147146 * cos(x)
cos(x) = -70945 / 147146
cos(x) ≈ -0.4822
x ≈ cos^(-1)(-0.4822)
x ≈ 118.5 degrees
Therefore, the missing angle at M between L and N is approximately 118.5 degrees.
Calculate the measure of the missing angle at M between L and N to one decimal place.
Length between L and N 203 cm
Length between L and M 181 cm
Length between M and N 215 cm
1 answer