For this particular problem, the point of intersection is 4 feet above the ground.
The general formula for this situation is as follows:
Let h=height of the shorter pole
Let H=height of the taller pole
Then the height of the point of intersection, let's call it y, will be
y = (hH)/(h+H) or more symmetrically, 1/y = 1/h + 1/H
This may be deduced by simple algebra and the comparison of sides of similar triangles.
An interesting aspect of this problem is that the distance between the poles does not appear anywhere in the solution! No matter how far apart you stretch the poles, the height of the point of crossing remains the same - it just slides along a horizontal line at the calculated height.
Another point of interest is that the ratio of the horizontal distance from one pole to the crossing point ( call it x ) divided by the total distance between the two poles ( call it D ) also remains the same as the poles are moved apart. Specifically,
(x/D) = H/(h+H) = (a constant for a fixed set of poles)
Visual Aid: If you sliced the sphere right in the middle, along the vertical axis (up and down axis), you'd end up with a circle standing on the ground. The "height", or highest point, of the circle of the circle would be equal to it's diameter (d).d = 2r, where r is the radius
Some examples of perpendicular lines in nature are even ground and the stalks of plants, which often form a perfect right angle. Another example is a waterfall, with the falling water as one line and the body of water at the bottom as the other line, which again form a right angle.
It can mean the height from the ground to the roof peak, or the ground elevation above or below sea level.
assuming the wall and ground make a 90 degree angle with one another, Pythagorean's Theorem states the ladder will go 8 feet up the wall.
66
upright,at right angles to the bottom or ground level, running straight from top to bottom
56
Vertical motion is the motion that is perpendicular to the ground.
is motion that is perpendicular to the ground
Lincoln Heights - 2006 The Ground Beneath Our Feet 3-10 was released on: USA: 11 November 2008
hoe far you have from ground to bottom of chassis (bottom of car)
Its pythagoras: 102 - 52 = vertical height2. So 100-25 = vertical height2. Then the square root of 75 must = vertical height. Which makes the top of the ladder 8.66 feet (8ft 8 inches) from the ground.
It means parallel to level ground, at right angles to the vertical
A creep meter is a wire stretched across a fault to measure the horizontal movement from the ground.
Your vertical speed is zero when you're at the highest point of your jump. After that, itbegins to grow again, but in the downward direction. Your vertical speed is the samewhen you hit the ground as it was when you left the ground, but in the opposite direction.Your horizontal speed doesn't change. It's the same when you hit the ground as it waswhen you left the ground, and in the same direction.
Its either reality based (vertical is up-down, horizontal is ground distance) or it's purely arbitrary.
The cumulonimbus (thundercloud) has the greatest vertical extent: from a base relatively near the ground, up to or slightly past the tropopause.