Answer:
![y = 4.36](https://tex.z-dn.net/?f=y%20%3D%204.36)
Explanation:
Let the height of the ladder be L
![L = 10](https://tex.z-dn.net/?f=L%20%3D%2010)
Also:
- Let
![x = distance\ from\ the\ base\ of\ the\ ladder](https://tex.z-dn.net/?f=x%20%3D%20distance%5C%20from%5C%20the%5C%20base%5C%20of%5C%20the%5C%20ladder)
- Let
![y = height\ of\ the\ base\ of\ the\ ladder](https://tex.z-dn.net/?f=y%20%3D%20height%5C%20of%5C%20the%5C%20base%5C%20of%5C%20the%5C%20ladder)
When the ladder leans against the wall, it forms a triangle and the length of the ladder forms the hypotenuse.
So, we have:
--- Pythagoras Theorem
When the base is 9ft from the wall, this means that:
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Substitute 9 for x and 10 for L in ![L^2 = x^2 + y^2](https://tex.z-dn.net/?f=L%5E2%20%3D%20x%5E2%20%2B%20y%5E2)
![10^2 = 9^2 + y^2](https://tex.z-dn.net/?f=10%5E2%20%3D%209%5E2%20%2B%20y%5E2)
![100 = 81 + y^2](https://tex.z-dn.net/?f=100%20%3D%2081%20%2B%20y%5E2)
Make
the subject
![y^2 = 100 - 81](https://tex.z-dn.net/?f=y%5E2%20%3D%20100%20-%2081)
![y^2 = 19](https://tex.z-dn.net/?f=y%5E2%20%3D%2019)
Make y the subject
![y = \sqrt{19](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%7B19)
![y = 4.36](https://tex.z-dn.net/?f=y%20%3D%204.36)
<em>Hence, the true distance at that point is approximately 4.36ft</em>
We have vector ![(17.9*cos80^{0},17.9*sin80^{0})](https://tex.z-dn.net/?f=%2817.9%2Acos80%5E%7B0%7D%2C17.9%2Asin80%5E%7B0%7D%29)
Therefore,
x component = 17.9 * cos80 degree = 3.108
y component = 17.9 * sin80 degrees = 17.628
<h3>What is a vector?</h3>
An object with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.
If the magnitude and direction of two vectors match, they are the same vector. This shows that if we move a vector to a different location without rotating it, the final vector will be the same as the initial vector. The vectors that denote force and velocity are two examples. The direction of force and velocity are both fixed. The size of the vector would represent the force's strength or the velocity's corresponding speed.
To know more about vectors, visit:
brainly.com/question/12937011
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The Nebular Hypothesis is the most accepted explanation of the origin of our solar system. It states that the Sun was formed by a massive cloud of dust and gas light-years across, and it was bigger than the actual sun itself. Most of the mass in the center formed the sun, and the rest expanded outward.
Answer:
The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years. The period of orbit for the Earth around the Sun is approximately 365 days; it takes 365 days for the Earth to complete a cycle.