A ladder of length 6m leans against a vertical wall so that the base of the ladder is 2m from the wall. calculate the angle between the ladder and the wall
sin x = 2/6
x = 0.33
x = 19.5 degrees
sin(x) = 2/6
To calculate the angle between the ladder and the wall, we can use trigonometry. Specifically, we can use the sine function. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.
In this case, the length of the ladder (the hypotenuse) is 6m, and the distance between the base of the ladder and the wall (the side opposite the angle) is 2m.
So, we have sin(angle) = opposite/hypotenuse = 2/6 = 1/3.
To find the angle itself, we can use the inverse sine function (also known as arcsine). Taking the arcsine of 1/3 will give us the angle.
angle = arcsin(1/3) ≈ 19.47 degrees.
Therefore, the angle between the ladder and the wall is approximately 19.47 degrees.