To determine the length of line segment AC using the equation sin(40°), we first need to understand how trigonometric functions work in the context of a right triangle.
Assuming that AC is the opposite side and we have the hypotenuse or an adjacent side, we can use the sine function, which is defined as:
sin(θ) = Opposite / Hypotenuse
Given that we are working with sin(40°), we can rearrange this formula to find the length of AC if we know the hypotenuse (let’s call it h):
AC = h * sin(40°)
To find the length of AC, we need the value of the hypotenuse. However, if we just want to calculate sin(40°), it is approximately 0.6428.
If we take an example where the hypotenuse (h) is, let’s say, 10 units, then:
AC = 10 * sin(40°) ≈ 10 * 0.6428 ≈ 6.428
Rounding this to the nearest tenth gives us approximately 6.4 units.
So, without knowing the hypotenuse, we can’t state the exact length of AC. If you have a specific value for the hypotenuse, substitute it into the equation to find the precise length of AC!