Answer:
angle M = 47°
Step-by-step explanation:
By the law of cosine.
KL² = ML² + MK² - 2 (ML) (MK) cosM
Here KL = 15 ft.
MK = 10 ft.
ML = 20 ft.
Now we place the values in the formula
(15)² = (20)² + (10)² - 2(20)(10) cosM
225 = 400 + 100 - 400 cosM
225 - 500 - 400 cosM
225 - 500 = -400 cosM
-400 cosM = -275
cosM = [tex]\frac{275}{400}[/tex] = 0.6875
M = cos⁻¹ (0.6875)
= 46.57° ≈ 47°
Therefore, angle M = 47°
