An electrician is climbing up a letter to remove an air conditioner the length of the letter is 12 m and making an angle of 50 degree with the ground calculate the horizontal distance from the floor and of the ladder to the wall and height of the wall from the floor to the upper and of the ladder
To solve this problem, we can use trigonometry.
Let's denote:
- The horizontal distance from the floor to the wall as "x"
- The height of the wall from the floor to the upper end of the ladder as "y"
We can use the sine function to find the height y:
sin(50°) = y / 12
y = 12 * sin(50°)
y ≈ 9.15 m
Now, let's use the cosine function to find the horizontal distance x:
cos(50°) = x / 12
x = 12 * cos(50°)
x ≈ 7.71 m
Therefore, the horizontal distance from the floor to the wall is approximately 7.71 meters, and the height of the wall from the floor to the upper end of the ladder is approximately 9.15 meters.