<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>
![sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=sin%28%5Calpha%29%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20%5C%5C%20%5C%5C%20cos%28%5Calpha%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5C%20%5C%5Ctan%28%5Calpha%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)
The height is 240 How this helps
Answer:
A. horizontal reflection
Step-by-step explanation:
Given:
![f(x)=(2x-3)^2](https://tex.z-dn.net/?f=f%28x%29%3D%282x-3%29%5E2)
![g(x)=(-2x-3)^2](https://tex.z-dn.net/?f=g%28x%29%3D%28-2x-3%29%5E2)
To identify the type of transformation.
Solution:
On close observation of the functions we find the that sign of
has changed in
with other terms being constant.
<em>Thus, the transformation statement can be given as:</em>
![f(x)\rightarrow f(-x)](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28-x%29)
As:
![f(x)=(2x-3)^2](https://tex.z-dn.net/?f=f%28x%29%3D%282x-3%29%5E2)
![f(-x)=(2(-x)-3)^2= (-2x-3)^2 = g(x)](https://tex.z-dn.net/?f=f%28-x%29%3D%282%28-x%29-3%29%5E2%3D%20%28-2x-3%29%5E2%20%3D%20g%28x%29)
The transformation
describes horizontal reflection of function across the y-axis.
Thus,
is horizontally reflected across y-axis to get
.
It would be 4. in the equation y=mx+b, b is the y-intercept.