In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?
2 answers:
Answer:
Cosine F = (40 / 41)
Step-by-step explanation:
Since it's a right angle triangle, we can use
SOHCAHTOA method.
Where CAH = cosine F = adjacent / hypotenus.
Opposite (FH) = 9
Adjacent (HG) = 40
Hypothenus(FG) = 41
Cosine F = adjacent / hypothenus
Cosine F = 40 / 41
Cosine F = 0.9756
F = cos⁻(0.9756)
F = 12.68°
See attached document for better illustration on the triangle.
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Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.
x + 3y = -15
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Step2- After you multiply, add or subtract the two equations.
3x + 9y -3x + 2y = -45 + 23
Step 3- Then solve for the variables that is left.
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y = -2
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x - 6 = -15
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Hence, The solution is (-9,-2).
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