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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)
What else can I help you with?
What surface is 90 degrees to a horizontal surface?
Perpendicular
How do you find the height of a sphere when you have the radius?
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
Real examples of perpendicular lines?
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.
What is the elevation of your house?
It can mean the height from the ground to the roof peak, or the ground elevation above or below sea level.
Ladder stand 10 foot tall when braced against a wall the bottom of the ladder is 6 foot away from the wall how far up the wall does the ladder go?
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.
What is the definition of vertical angle?
upright,at right angles to the bottom or ground level, running straight from top to bottom
A 24-foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 22 feet from the basse of the building?
56
What is motion perpendicular to the ground?
Vertical motion is the motion that is perpendicular to the ground.
What is the meaning of axle height?
Axle height refers to the vertical distance from the ground to the center of an axle, typically in vehicles. It is an important measurement for determining a vehicle's ground clearance and overall stability. Higher axle heights can improve off-road capability, while lower heights may enhance aerodynamics and handling on paved surfaces. This measurement is crucial for vehicle design, suspension setup, and performance considerations.
What is vertical motion?
is motion that is perpendicular to the ground
Which is the horizontal line of a rectangle?
The horizontal lines of a rectangle are its top and bottom sides. These lines run parallel to the ground and connect the vertical sides of the rectangle. In a standard orientation, the top line is the upper edge, while the bottom line is the lower edge.
What is car ground clearance?
hoe far you have from ground to bottom of chassis (bottom of car)
Would a racecar fly if it had an airfoil at the bottom?
It also won't work if it has no vertical stabilizers. It only has a horizontal stabilizer. And race cars are meant to be close to the ground so it wouldn't work to have it in the sky.
What are the release dates for Lincoln Heights - 2006 The Ground Beneath Our Feet 3-10?
Lincoln Heights - 2006 The Ground Beneath Our Feet 3-10 was released on: USA: 11 November 2008
A 10-m ladder is leaning against a building The bottom of the ladder is 5 m from the building. how high is the top of the ladder?
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.
What is the definition of vertical component?
The vertical component is the portion of a vector that points in the vertical direction, typically perpendicular to the ground or a reference plane. It is the part of the vector that contributes to motion or force along the vertical axis.
What does hoizontal mean?
It means parallel to level ground, at right angles to the vertical
