Question

What does AC=?
Round your answer to the nearest hundredth.

Please help

Answer 1

Answer: About 3.06

Explanation:

We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.

Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.

cos(θ) =
`(adjacent)/(hypotenuse )`

cos(40) =
`(x)/(4)`

0.766 ≈
`(x)/(4)`

3.06 ≈ x

x ≈ 3.06