Check the picture below.
now, notice, for the angle hAC, the hypotenuse is hA, and the adjacent side is CA, therefore,
![\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad cos(hAC)=\cfrac{5}{hA}\implies hA=\cfrac{5}{cos(hAC)} \\\\\\ hA=\cfrac{5}{cos\left[ \frac{cos^{-1}\left( \frac{5}{13} \right)}{2} \right]}](https://tex.z-dn.net/?f=%5Cbf%20cos%28%5Ctheta%29%3D%5Ccfrac%7Badjacent%7D%7Bhypotenuse%7D%5Cqquad%20cos%28hAC%29%3D%5Ccfrac%7B5%7D%7BhA%7D%5Cimplies%20hA%3D%5Ccfrac%7B5%7D%7Bcos%28hAC%29%7D%0A%5C%5C%5C%5C%5C%5C%0AhA%3D%5Ccfrac%7B5%7D%7Bcos%5Cleft%5B%20%5Cfrac%7Bcos%5E%7B-1%7D%5Cleft%28%20%5Cfrac%7B5%7D%7B13%7D%20%5Cright%29%7D%7B2%7D%20%5Cright%5D%7D)
make sure your calculator is in Degree mode, if you need the angle in degrees.
The volume of a rectangular prism (in this case, the pool) is found by multiplying the values of the length, the height, and the width together.
44 * 9 * 8 = 3168
The volume of the pool is 3,168
.
Hope that helped! =)
Answer:
1652
Step-by-step explanation:
because 36x4=144 and 144x8=1652
Using sinusoidal function concepts, it is found that the values are A = 2 and D = 2.
<h3>What is a sinusoidal function?</h3>
The cosine function, with standard period, is represented by:
In which:
is the amplitude, which is the difference between the largest and smallest value.
- D is the vertical shift, considering that the standard cosine function has range between -A and A.
In this problem, the amplitude is of 4 - 0 = 4, hence:
The standard function has range between -2 and 2, in this problem it is between 0 and 4, hence the vertical shift up is of 2 units, that is, D = 2.
You can learn more about sinusoidal function concepts at brainly.com/question/26131720
