lannabw2255 lannabw2255
  • 22-04-2020
  • Mathematics
contestada

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

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aabdulsamir
aabdulsamir aabdulsamir
  • 26-04-2020

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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