The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter.
Given that,
We have to find what is orthocenter.
We know that
<h3>What is Orthocenter?</h3>
The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter. It is the location in a triangle where the three angles of the triangle intersect. An orthocenter's three primary characteristics are as follows:
Triangle: A three-sided polygon with three edges.
A triangle's height is the line that runs between its vertices and perpendicular to the other side. A triangle can therefore have three heights, one from each vertices.
Vertex - A vertex is the intersection of two or more lines.
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Answer:0.125
Step-by-step explanation:
1/4x 0.5
In the nutcracker movie during Christmas the ‘follow the string to the presents’ was accurate and so was the costuming
Given that the terminal side of an <θ intersects the unit circle at the point
![P(\frac{5}{6},\frac{-\sqrt[]{11}}{6})](https://tex.z-dn.net/?f=P%28%5Cfrac%7B5%7D%7B6%7D%2C%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%29)
From the given point P:
![\begin{gathered} x=\frac{5}{6} \\ y=\frac{-\sqrt[]{11}}{6} \\ \text{ s}ince,\text{ x is positive and y is negative, the angle lies in the 4th quadrant} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B5%7D%7B6%7D%20%5C%5C%20y%3D%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%20%5C%5C%20%5Ctext%7B%20s%7Dince%2C%5Ctext%7B%20x%20is%20positive%20and%20y%20is%20negative%2C%20the%20angle%20lies%20in%20the%204th%20quadrant%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \tan \theta=\frac{\text{ opposite}}{\text{Adjacent}}=\frac{y}{x} \\ \tan \theta=\frac{\frac{-\sqrt[]{11}}{6}}{\frac{5}{6}}=\frac{-\sqrt[]{11}}{5} \\ \tan \theta=-0.6633 \\ \theta=326.44^0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctan%20%5Ctheta%3D%5Cfrac%7B%5Ctext%7B%20opposite%7D%7D%7B%5Ctext%7BAdjacent%7D%7D%3D%5Cfrac%7By%7D%7Bx%7D%20%5C%5C%20%5Ctan%20%5Ctheta%3D%5Cfrac%7B%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B6%7D%7D%7B%5Cfrac%7B5%7D%7B6%7D%7D%3D%5Cfrac%7B-%5Csqrt%5B%5D%7B11%7D%7D%7B5%7D%20%5C%5C%20%5Ctan%20%5Ctheta%3D-0.6633%20%5C%5C%20%5Ctheta%3D326.44%5E0%20%5Cend%7Bgathered%7D)
