a ladders 20m long touch a wall at a height of 10 m find the angel made by ladder with horizontal .
sin Theta = 1/2
Theta = 30 degrees
( Very unsafe )
344656
I am not satisfy
To find the angle made by the ladder with the horizontal, we can use trigonometric ratios. In this case, we will be using the tangent ratio.
The tangent of an angle is equal to the ratio of the length of the vertical side to the length of the horizontal side. In this scenario, the vertical side is 10m (height) and the horizontal side is 20m (length of the ladder).
So, let's calculate the tangent of the angle:
Tangent(angle) = vertical side / horizontal side
Tangent(angle) = 10m / 20m
Now divide 10m by 20m to get the tangent of the angle:
Tangent(angle) = 0.5
To find the angle, we need to take the inverse tangent (or arctan) of this value. In mathematical notation, it would look like this:
angle = arctan(0.5)
Using a calculator or a trigonometric table, find the arctan of 0.5:
angle ≈ 26.565 degrees
Therefore, the angle made by the ladder with the horizontal is approximately 26.565 degrees.