Answer:
Approximate measure of ∠M = 60°.
Step-by-step explanation:
Given from the question is
In a triangle LMN, ∠N = 90° LM = 76 Units and the length of MN= 40 Units and we have to measure angle M or ∠LMN.
As we have learn from trigonometric functions in a right angle triangle
Cos ∅ = [tex]\frac{Base}{Hypotenuse}[/tex]
Cos ∅ = [tex]\frac{MN}{LM}[/tex]
Cos ∅ = [tex]\frac{40}{76}[/tex] = .53
∅ = [tex]Cos^{-1}[/tex](.53)
∅ = 58° ≈60°
Therefore the approximate measure of angle M is 60°.
