Find the value of x using trigonometric ratios.
24-32degrees right triangle
show work!
To find the value of x using trigonometric ratios, we need to identify which trigonometric ratio applies to this problem. In this case, we are given the angle and the side opposite it, so the ratio that applies is the tangent ratio. The tangent of an angle is equal to the opposite side divided by the adjacent side.
So, we have:
tan(32 degrees) = x/24
To solve for x, we need to isolate it on one side of the equation. We can do this by multiplying both sides by 24:
24 tan(32 degrees) = x
Using a calculator to evaluate the tangent of 32 degrees, we get:
tan(32 degrees) = 0.6249
So, multiplying 24 by 0.6249, we get:
24 * 0.6249 = 14.9976 approximately 15
Therefore, the value of x is approximately 15 units.