find the distance between (cos 35 degree, 0) and (0,acos 55 degree)

To find the distance between two points in a coordinate system, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the first point is (cos 35°, 0), and the second point is (0, acos 55°).

Step 1: Find the x-coordinates and y-coordinates of the two points:
- For the first point, the x-coordinate is cos 35° and the y-coordinate is 0.
- For the second point, the x-coordinate is 0, and the y-coordinate is acos 55°.

Step 2: Calculate the differences between the x- and y-coordinates:
- For the x-coordinate: 0 - cos 35°
- For the y-coordinate: acos 55° - 0

Step 3: Square the differences from step 2:
- For the x-coordinate: (0 - cos 35°)^2
- For the y-coordinate: (acos 55° - 0)^2

Step 4: Add the squared differences from step 3:
- Sum = (0 - cos 35°)^2 + (acos 55° - 0)^2

Step 5: Take the square root of the sum from step 4 to find the distance:
- d = sqrt[(0 - cos 35°)^2 + (acos 55° - 0)^2]

Now, let's calculate the distance: