Answer:
yes
Step-by-step explanation:
it just needs to have three sides
Y= -2/-18 or Y= 0.1111
X=-2(-0.1111)+1
or X=0.77778
Answer:
(33 - 5)/7 = 4
Step-by-step explanation:
93/5 turned into a decimal is 18.6
Answer:
![Owl= 67.14ft](https://tex.z-dn.net/?f=Owl%3D%2067.14ft)
Step-by-step explanation:
<em>See comment for complete question.</em>
The given information is represented in the attached figure.
First convert 22°8'6'' and 30° 40’ 30” to degrees
![22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}](https://tex.z-dn.net/?f=22%5E%7B%5Ccirc%7D%208%276%27%27%20%3D%2022%20%2B%20%5Cfrac%7B8%7D%7B60%7D%20%2B%20%5Cfrac%7B6%7D%7B3600%7D)
![22^{\circ} 8'6'' = 22.135^{\circ}](https://tex.z-dn.net/?f=22%5E%7B%5Ccirc%7D%208%276%27%27%20%3D%2022.135%5E%7B%5Ccirc%7D)
![30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}](https://tex.z-dn.net/?f=30%5E%7B%5Ccirc%7D%2040%2730%27%27%20%3D%2030%20%2B%20%5Cfrac%7B40%7D%7B60%7D%20%2B%20%5Cfrac%7B30%7D%7B3600%7D)
![30^{\circ} 40'30'' = 30.675^{\circ}](https://tex.z-dn.net/?f=30%5E%7B%5Ccirc%7D%2040%2730%27%27%20%3D%2030.675%5E%7B%5Ccirc%7D)
Considering Jason's position:
![tan(22.135^{\circ}) = \frac{H}{x + 48}](https://tex.z-dn.net/?f=tan%2822.135%5E%7B%5Ccirc%7D%29%20%3D%20%5Cfrac%7BH%7D%7Bx%20%2B%2048%7D)
Where x = distance between the tree and Alison
Make H the subject
![H = (x + 48)tan(22.135^{\circ})](https://tex.z-dn.net/?f=H%20%3D%20%28x%20%2B%2048%29tan%2822.135%5E%7B%5Ccirc%7D%29)
Considering Alison's position
![tan(30.675^{\circ}) = \frac{H}{x}](https://tex.z-dn.net/?f=tan%2830.675%5E%7B%5Ccirc%7D%29%20%3D%20%5Cfrac%7BH%7D%7Bx%7D)
Make H the subject
![H = xtan(30.675^{\circ})](https://tex.z-dn.net/?f=H%20%3D%20xtan%2830.675%5E%7B%5Ccirc%7D%29)
![H = H](https://tex.z-dn.net/?f=H%20%3D%20H)
![(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})](https://tex.z-dn.net/?f=%28x%20%2B%2048%29tan%2822.135%5E%7B%5Ccirc%7D%29%20%3D%20xtan%2830.675%5E%7B%5Ccirc%7D%29)
![(x + 48) *0.4068 = x* 0.5932](https://tex.z-dn.net/?f=%28x%20%2B%2048%29%20%2A0.4068%20%3D%20x%2A%200.5932)
Open bracket
![x *0.4068 + 48 *0.4068 = 0.5932x](https://tex.z-dn.net/?f=x%20%2A0.4068%20%2B%2048%20%2A0.4068%20%3D%200.5932x)
![0.4068x + 19.5264 = 0.5932x](https://tex.z-dn.net/?f=0.4068x%20%2B%2019.5264%20%3D%200.5932x)
Collect Like Terms
![-0.5932x+0.4068x = -19.5264](https://tex.z-dn.net/?f=-0.5932x%2B0.4068x%20%3D%20-19.5264)
![-0.1864x = -19.5264](https://tex.z-dn.net/?f=-0.1864x%20%3D%20-19.5264)
![0.1864x = 19.5264](https://tex.z-dn.net/?f=0.1864x%20%3D%2019.5264)
Make x the subject
![x = \frac{19.5264}{0.1864}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B19.5264%7D%7B0.1864%7D)
![x = 104.76](https://tex.z-dn.net/?f=x%20%3D%20104.76)
Substitute 104.76 for x in ![H = xtan(30.675^{\circ})](https://tex.z-dn.net/?f=H%20%3D%20xtan%2830.675%5E%7B%5Ccirc%7D%29)
![H = 104.76 * tan(30.675^{\circ})](https://tex.z-dn.net/?f=H%20%3D%20104.76%20%2A%20tan%2830.675%5E%7B%5Ccirc%7D%29)
![H = 104.76 * 0.5932](https://tex.z-dn.net/?f=H%20%3D%20104.76%20%2A%200.5932)
![H = 62.14](https://tex.z-dn.net/?f=H%20%3D%2062.14)
The above represents the height of the tree.
The height of the owl is:
![Owl= H + 5](https://tex.z-dn.net/?f=Owl%3D%20H%20%2B%205)
![Owl= 62.14 + 5](https://tex.z-dn.net/?f=Owl%3D%2062.14%20%2B%205)
![Owl= 67.14ft](https://tex.z-dn.net/?f=Owl%3D%2067.14ft)