# In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?

2 answers

###### Question:

In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?

## 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) = 9Adjacent (HG) = 40Hypothenus(FG) = 41Cosine F = adjacent / hypothenusCosine F = 40 / 41Cosine F = 0.9756F = cos⁻(0.9756)F = 12.68°See attached document for better illustration on the triangle.

Answer:9/41Step-by-step explanation:

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