To calculate the angle of inclination of the plank to the horizontal, we can use the formula:
sin(theta) = height / hypotenuse
where theta is the angle of inclination, height is the height of the lorry (2m), and hypotenuse is the length of the plank (4m).
First, let's calculate the hypotenuse using the Pythagorean theorem:
hypotenuse = sqrt((height)^2 + (plank length)^2)
= sqrt((2m)^2 + (4m)^2)
= sqrt(4m^2 + 16m^2)
= sqrt(20m^2)
= 4.47m (rounded to 2 decimal places)
Next, let's calculate the sin(theta):
sin(theta) = height / hypotenuse
= 2m / 4.47m
= 0.447
To find the angle theta, we can take the inverse sine (arcsin) of 0.447:
theta = arcsin(0.447)
= 26.55 degrees (rounded to 2 decimal places)
Therefore, the angle of inclination of the plank to the horizontal is approximately 26.55 degrees.
a rough 4m plank is used as 500N bag up to the floor of a lorry 2m high . 200j of work is done against friction between the bag and the plank calculate the angle of inclination of the plank to the horizontal plank
1 answer
1 answer