Final answer:
To find the angle, use the sine function with the length and diagonal. To find the length and width, use the Pythagorean theorem with the diagonal.
Step-by-step explanation:
To find the angle between the longer side and the diagonal of the screen, we can use the right triangle formed by the length, width, and diagonal of the screen. Using trigonometry, we can use the sine function to find the angle. The sine of the angle is equal to the ratio of the length to the diagonal of the screen. So, sin(θ) = length / diagonal. We can substitute the given values to find the angle.
To find the length and width of the screen, we can use the Pythagorean theorem. In a right triangle, the square of the length plus the square of the width is equal to the square of the diagonal. So, length^2 + width^2 = diagonal^2. We can substitute the given values to find the length and width.