A step ladder 2.2m high was opened making an angle of 30° Calculate distance between legs of ladder
i don't know where the angle meet up so i just pick it from btw d leg
here where x is the leg
tan30=2.2/x
x=2.2m/30
sorry it would be 1/2 of 30degree=15degree
so
x=2.2m/tan15
total distance =2*x
oooh what wrong with me
it
tan15=x/2.2m
x=2.2m*tan15
Collin's last reply is correct.
To calculate the distance between the legs of the ladder, we can use trigonometry.
First, let's break down the given information:
- The ladder has a height of 2.2m.
- The angle between the ladder and the ground is 30°.
We can visualize this scenario as a right-angled triangle, where the ladder is the hypotenuse, the height is the opposite side, and the distance between the legs is the adjacent side.
To find the distance between the legs, we need to find the length of the adjacent side, which can be calculated using the cosine function.
The cosine function is defined as:
cos(theta) = adjacent / hypotenuse
In this case, we know the value of the hypotenuse (2.2m) and the angle (30°). Let's substitute these values into the cosine function:
cos(30°) = adjacent / 2.2m
Now, let's solve for the adjacent side:
adjacent = cos(30°) * 2.2m
Using a calculator, we find that the cosine of 30° is approximately 0.866. Let's substitute this value into our equation:
adjacent = 0.866 * 2.2m
Simplifying the equation gives us:
adjacent = 1.9052m
Therefore, the distance between the legs of the ladder is approximately 1.9052 meters.