**1. The problem statement, all variables and given/known data**

You have a device that shoots an object at an angle, on top of a desk.

You have x,y and v solve for the angle.

Origin is at the top of the desk.

**2. Relevant equations**

y=vyot+(½)ayt2

x = vxot

vsinΘ = vyo

vcosΘ = vxo

**3. The attempt at a solution**

y= vsinΘt + (1/2)at^2

x = vcosΘt → t = x/(vcosΘ)

y = x*(vsinΘ)/(vcosΘ) +(1/2)a(x/(vcosΘ))^2

y = xtanΘ + (a/2)*((x^2)/(v^2cos^2Θ))

from here i moved cos^2Θ to the left and changed tanΘ into sincos but I don't know how to isolate the Θ by itsself.

Does anyone have any ideas? I know quadratic equation can be used but i don't know how to change it for Θ

Any help is appreciated.

y= vsinΘt + (1/2)at^2

x = vcosΘt → t = x/(vcosΘ)

y = x*(vsinΘ)/(vcosΘ) +(1/2)a(x/(vcosΘ))^2

y = xtanΘ + (a/2)*((x^2)/(v^2cos^2Θ))

from here i moved cos^2Θ to the left and changed tanΘ into sincos but I don't know how to isolate the Θ by itsself.

Does anyone have any ideas? I know quadratic equation can be used but i don't know how to change it for Θ

Any help is appreciated.