Is this a question that needs to be answered or what -
Answer:
89.1° or -1.4°
Step-by-step explanation:
1. Location:
You are on the Mont-Saint-Jean escarpment, near the Belgian town of Waterloo.
The French troops are about 50 m below you and 1.2 km distant.
2. Finding the firing angle
Data:
R = 1200 m
u = 600 m/s
h = -50 m (the height of the target)
a = 9.8 m/s²
We have two conditions.
Horizontal distance
(1) 1200 = 600t cosθ
Vertical distance
(2) -50 = 600t sinθ - 4.9t²
Divide each side of (1) by 600cosθ.
![(3) \, t =\dfrac{2}{\cos \theta}](https://tex.z-dn.net/?f=%283%29%20%5C%2C%20t%20%3D%5Cdfrac%7B2%7D%7B%5Ccos%20%5Ctheta%7D)
Substitute (3) into (2)
![-50 = 600t \sin \theta - 4.9t^{2} = 600 \left( \dfrac{2}{\cos \theta} \right ) \sin \theta - 4.9 \left( \dfrac{2}{\cos \theta} \right )^{2}\\\\(4) \, -50 = 1200 \tan \theta - \dfrac{19.6}{\cos^{2} \theta}](https://tex.z-dn.net/?f=-50%20%3D%20600t%20%5Csin%20%5Ctheta%20-%204.9t%5E%7B2%7D%20%3D%20%20600%20%5Cleft%28%20%5Cdfrac%7B2%7D%7B%5Ccos%20%5Ctheta%7D%20%5Cright%20%29%20%5Csin%20%5Ctheta%20-%204.9%20%5Cleft%28%20%5Cdfrac%7B2%7D%7B%5Ccos%20%5Ctheta%7D%20%5Cright%20%29%5E%7B2%7D%5C%5C%5C%5C%284%29%20%5C%2C%20-50%20%3D%201200%20%5Ctan%20%5Ctheta%20-%20%5Cdfrac%7B19.6%7D%7B%5Ccos%5E%7B2%7D%20%5Ctheta%7D)
Recall that
(5) sec²θ = 1/cos²θ = tan²θ + 1
Substitute (5) into (4)
![-50 = 1200 \tan \theta - 19.6 \left(\tan^{2} \theta}+ 1\right )](https://tex.z-dn.net/?f=-50%20%3D%201200%20%5Ctan%20%5Ctheta%20-%2019.6%20%5Cleft%28%5Ctan%5E%7B2%7D%20%5Ctheta%7D%2B%201%5Cright%20%29)
Set up a quadratic equation
![\begin{array}{rcl}-50 & = & 1200 \tan \theta - 19.6\tan^{2} \theta -19.6 \\0 & = & 1200 \tan \theta - 19.6\tan^{2} \theta + 30.4\\0 & =&19.6\tan^{2} \theta - 1200 \tan \theta - 30.4\\0 & =&\tan^{2} \theta - 61.224 \tan \theta - 1.551\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D-50%20%26%20%3D%20%26%201200%20%5Ctan%20%5Ctheta%20-%2019.6%5Ctan%5E%7B2%7D%20%5Ctheta%20-19.6%20%5C%5C0%20%26%20%3D%20%26%201200%20%5Ctan%20%5Ctheta%20-%2019.6%5Ctan%5E%7B2%7D%20%5Ctheta%20%2B%2030.4%5C%5C0%20%26%20%3D%2619.6%5Ctan%5E%7B2%7D%20%5Ctheta%20-%201200%20%5Ctan%20%5Ctheta%20-%2030.4%5C%5C0%20%26%20%3D%26%5Ctan%5E%7B2%7D%20%5Ctheta%20-%2061.224%20%5Ctan%20%5Ctheta%20-%201.551%5C%5C%5Cend%7Barray%7D)
Solve for θ
Use the quadratic formula.
tanθ = 61.249 or -0.025
θ = arctan(61.249) = 89.1° or
θ = arctan(-0.025) = -1.4°
The Indians live in South Korean with their friends in smarties where there take Cole to the store to buy human bear grounds for the researcher hence the right of occupancy
Answer:
Jeffery because the other dude go the 2 numbers wrong (he put the x coordinates on y and y on x)
Answer:
huh
Step-by-step explanation: