<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 :)
Answer:
12 + -6i
a=12
b=-6
Step-by-step explanation:
( -4 + 3i ) ( -3 - 2i )
-4 * -3 = 12
3i * -2i= -6i
12 + -6i
Answer: x equals 5
Step-by-step explanation:
Answer:
5 kmph
Step-by-step explanation:
Given: Greg swam 4 kilometers against the current.
Greg swam 16 kilometers with the current.
Rate of the current was 3kmph.
Lets assume the speed of greg swimming with no current be "x".
∴ Speed of swimming against current= ![(x-3)\ kmph](https://tex.z-dn.net/?f=%28x-3%29%5C%20kmph)
Speed of swimming with current= ![(x+3)\ kmph](https://tex.z-dn.net/?f=%28x%2B3%29%5C%20kmph)
As given, it took same amount of time to swim both with current and against current.
∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.
We know, ![Time= \frac{Distance}{Speed}](https://tex.z-dn.net/?f=Time%3D%20%5Cfrac%7BDistance%7D%7BSpeed%7D)
⇒ ![\frac{4}{(x-3)} = \frac{16}{(x+3)}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B%28x-3%29%7D%20%3D%20%5Cfrac%7B16%7D%7B%28x%2B3%29%7D)
Multiplying both side by (x+3) and (x-3)
⇒![4\times (x+3)= 16\times (x-3)](https://tex.z-dn.net/?f=4%5Ctimes%20%28x%2B3%29%3D%2016%5Ctimes%20%28x-3%29)
Using distributive property of multiplication.
⇒ ![4x+12= 16x-48](https://tex.z-dn.net/?f=4x%2B12%3D%2016x-48)
Subtracting both side by 4x and adding by 48.
⇒![60= 12x](https://tex.z-dn.net/?f=60%3D%2012x)
Dividing both side by 12
⇒![x= \frac{60}{12} = 5\ kmph](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B60%7D%7B12%7D%20%3D%205%5C%20kmph)
Hence, Greg can swim at the rate of 5kmph with no current.
Answer:
abt 36,469
Step-by-step explanation:
36468.75
estimate it to 36,469 bc .75 of rabbit is not possible