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.
You might be interested in
Using the arrangements formula, considering the given digits, it is found that Edward writes 6 numbers.
<h3>What is the arrangements formula?</h3>The number of possible arrangements of n elements is given by the factorial of n, that is:
In this problem, the first digit has to be 5, while the other three are arranged, hence the total number of arrangements is given by:
More can be learned about the arrangements formula at brainly.com/question/25925367
#SPJ1