The picture shows a barn door.

what is the length of the bar ac?

6 sin 60°

6 cos 60°

Option B is correct.

Length of the bar AC i.e

Step-by-step explanation:

As per the statement:

In right angle triangle ACB

Side AB = 6 feet and

We have to find the length of bar AC:

Using cosine function ratio:

Here,

Adjacent side= AC

Hypotenuse side = AB = 6 feet

then;

substitute the given values we have;

Multiply both sides by 6 we have;

Therefore, the length of the bar

Step-by-step explanation:

Given the simultaneous equation;

ax + by = ab   1

2ax + 3by = 3b 2

Required

Express y in terms of a

Using elimination method to eliminate x variable.

eqn 1 * 2 and eqn 2 *1 will give;

2ax + 2by = 2ab

2ax + 3by = 3b

Subtract

2by - 3by = 2ab - 3b

-by = 2ab - 3b

-by = b(2a-3)

-y = 2a-3

multiply through by -1

y = -2a + 3

y = 3-2a

Hence the value of y in terms of a is y = 3-2a