Question

In ALMN, the measure of ZN=90°, NM = 5, ML = 13, and LN = 12. What ratio

represents the cosine of ZL?

Answer 1

12/13

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