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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
Steve
answered
8 years ago
8 years ago
Ramla
answered
5 years ago
5 years ago
sin x = 2/6
x = 0.33
x = 19.5 degrees
QUADRI SEMIAT
answered
4 years ago
4 years ago
a ladder 7m longs lain against a wall the ladder foot is 2m for the wall calculate how for up the wall the ladder reaches
Explain Bot
answered
1 year ago
1 year ago
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.