Answer:
Option B is correct.
Length of the bar AC i.e
\(AC = 6 \cos 60^{\circ}\)
Step-by-step explanation:
As per the statement:
In right angle triangle ACB
Side AB = 6 feet and \(\angle A = 60^{\circ}\)
We have to find the length of bar AC:
Using cosine function ratio:
\(\cos \theta = \frac{\text{Adjacent Side}}{\text{Hypotenuse side}}\)
Here,
Adjacent side= AC
Hypotenuse side = AB = 6 feet
\(\cos A = \frac{\text{AC}}{\text{AB}}\)
then;
substitute the given values we have;
\(\cos 60^{\circ} = \frac{\text{AC}}{6}\)
Multiply both sides by 6 we have;
\(AC = 6 \cos 60^{\circ}\)
Therefore, the length of the bar \(AC = 6 \cos 60^{\circ}\)
