Given right triangle MNL, what is the value of cos(M)? Three-fifths Three-fourths Four-fifths Five-thirds
1 answer:
By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5
<em><u>Recall:</u></em>
Trigonometry ratios, <em>SOH CAH TOA</em> can be applied to solve a right triangle.
- Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).
<em><u>Given:</u></em>
ΔMNL is a right triangle
ML = 25
NL = 15
Find MN using the Pythagorean Theorem:
MN = √(ML² - NL²)
MN = √(25² - 15²)
MN = 20
To find the value of cos(M), apply the trigonometry ratio, CAH, which is:
cos ∅ = Adj/Hyp
- Where,
∅ = M (reference angle)
Hypotenuse = ML = 25
Adjacent = MN = 20
- Plug in the values:
cos(M) = 20/25
cos(M) = 4/5
Learn more about Trigonometry ratios on:
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