I'd be happy to help with that! To find the angle of inclination of the ladder, we can use trigonometry, specifically the sine function. Here's how you can calculate it:
1. Identify the sides of the right triangle formed by the ladder, the wall, and the ground. The ladder is the hypotenuse, the distance from the wall to the base of the ladder is the opposite side, and the length of the ladder that touches the ground is the adjacent side.
2. Use the sine function, which is defined as sin(θ) = opposite/hypotenuse. In this case, sin(θ) = opposite/5m (length of the ladder).
3. Plug in the values you know: sin(θ) = 2m/5m.
4. Simplify the equation: sin(θ) = 2/5.
5. To find the angle θ, you need to take the inverse sine (arcsine) of 2/5. This can be done using a calculator to get the angle in degrees.
6. After calculating the inverse sine, you will get the angle of inclination of the ladder.
By following these steps, you can determine the angle of inclination of the ladder correctly. If you have any more questions or need further clarification, feel free to ask!
