a ladder length 4.5m leans against a vertical wall making an angle of 50degrees with the horizontal, if the bottom of a window is 4m above ground, what is the distance betwee

Answer 1

n the top of the ladder and the window?

To find the distance between the top of the ladder and the window, we need to calculate the vertical distance the ladder reaches on the wall first.

Using trigonometry, we can find the vertical component of the ladder as follows:

sin(50 degrees) = vertical component / 4.5m
vertical component = 4.5m * sin(50 degrees)
vertical component = 4.5m * 0.766 = 3.447m

So, the ladder reaches a height of 3.447m on the wall. Since the bottom of the window is 4m above the ground, and the ladder extends 3.447m up the wall, the distance between the top of the ladder and the window is:

Distance = 4m - 3.447m = 0.553m

Therefore, the distance between the top of the ladder and the window is 0.553m.