Answer:
12/13
Step-by-step explanation:
Question: In ∆LMN, the measure of <N=90°, NM = 5, ML = 13, and LN = 12. What ratio represents the cosine of <L?
Solution
The diagram of the triangle has been attached to the solution.
LN = 12
ML = 13
NM = 5
Angle N = 90°
Trigonometry: SohCahToa
Soh : sinx =Opposite/hypotenuse
Cah : cosine x =adjacent/hypotenuse
Toa: Tan x = opposite/adjacent
Redrawing or turning the initial diagram by 90° anticlockwise:
Let theta in the diagram represent angle L
Cosine theta = adjacent/ hypotenuse
Cosine of angle L = 12/13
Cosine of <L = 12/13
