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The picture shows a barn door: A barn door has two parallel bars. A support AB of length 6 feet runs across the diagonal between the two parallel bars. The angle made by the diagonal with the parallel bar on top is 60 degrees. What is the length of the bar AC?

 a.  6 sin 60°
b.  6 cos 60°
c. 6/cos60
d. 6/tan60

Verified Answer :

wizard123

Cosine is the ratio adjacent over hypotenuse.

The hypotenuse is the diagonal of 6 ft.

The adjacent side of the 60 degree angle is AC.

Therefore:
\(cos 60 = \frac{AC}{6} \\ \\ AC = 6 cos 60\)

akposevictor

Using the cosine ratio, the length of the bar AC is: B. 6(cos 60°).

What is the Cosine Ratio?

Cos ∅ = adjacent/hypotenuse represents what we know as the cosine ratio.

From the diagram given, triangle ABC is a right triangle. To find AC, apply the cosine ratio where:

  • ∅ = 60°
  • Hypotenuse= 6 feet
  • Adjacent = AC

cos 60° = AC/6

AC = 6(cos 60°)

Therefore, the length of the bar AC is: B. 6(cos 60°)

Learn more about the cosine ratio on:

https://brainly.com/question/4326804

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