X= - 4/5
Answer for number 10
SOLUTION:
We want to write the x and y parametric equation for Sami and T'Aisha given their following data.
![\begin{gathered} Sami:v_0=15\frac{ft}{s},\theta=35^o,y_0=5.4ft \\ T^{\prime}Aisha:v_0=19\frac{ft}{s},\theta=50^o,y_o=5.8ft \\ x_0=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Sami%3Av_0%3D15%5Cfrac%7Bft%7D%7Bs%7D%2C%5Ctheta%3D35%5Eo%2Cy_0%3D5.4ft%20%5C%5C%20T%5E%7B%5Cprime%7DAisha%3Av_0%3D19%5Cfrac%7Bft%7D%7Bs%7D%2C%5Ctheta%3D50%5Eo%2Cy_o%3D5.8ft%20%5C%5C%20x_0%3D0%20%5Cend%7Bgathered%7D)
The parametric equations for x and y are given by;
![\begin{gathered} x(t)=x_0+(v_0cos\theta)t \\ y(t)=y_0+(v_0sin\theta)t+0.5gt^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%28t%29%3Dx_0%2B%28v_0cos%5Ctheta%29t%20%5C%5C%20y%28t%29%3Dy_0%2B%28v_0sin%5Ctheta%29t%2B0.5gt%5E2%20%5Cend%7Bgathered%7D)
Inserting, the values, we have; For Sami;
![\begin{gathered} Sami: \\ x\left(t\right)=15cos35t, \\ y\left(t\right)=5.4+15sin35t-16t^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Sami%3A%20%5C%5C%20x%5Cleft%28t%5Cright%29%3D15cos35t%2C%20%5C%5C%20y%5Cleft%28t%5Cright%29%3D5.4%2B15sin35t-16t%5E2%20%5Cend%7Bgathered%7D)
For T'Aisha;
Answer:
67.38 degrees
Step-by-step explanation:
Here, we want to find the value of the angle at X
We are going to use the appropriate trigonometric ratio here
From the question, the vertex X faces the side 12 and that makes the side the opposite
The side 13 faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects both is the sine
so we have that;
sine X = 12/13
X = arc sin (12/13)
X = 67.38
Answer:1231
Step-by-step explanation:
1,231