- #1
KurtWagner
- 43
- 1
So I have a boat going across a river (y-direction, north) 400m wide.
I am trying to hit a target 75m in the positive x direction on the opposite side of the river.
My boat will travel a velocity v.
The river will provide a constant velocity of +0.5 (east)
I am trying to find the angle a, north of west to point my boat.
hope that all makes sense.
so far I have:
y = vt or t = y/v
t = 400 / v*sin(a)
x = vt
75 = [0.5 - cos(a)] * t
then I plugged in t
75 = 200/[v*sin(a)] - [400*v*cos(a)]/[v*sin(a)]
I can't seem to solve this. Am I doing this the right way?
I was thinking I need another function and I remember having to use
sin(a)^2 + cos(b)^2 = 1
for something like this a while back. And if I do, how do I? Do I just solve the first two equations for sin and cos and then plug the equations into the third, expand them, then solve another for t and then plug it in and simplify?
any help would be greatly appreciated.
I am trying to hit a target 75m in the positive x direction on the opposite side of the river.
My boat will travel a velocity v.
The river will provide a constant velocity of +0.5 (east)
I am trying to find the angle a, north of west to point my boat.
hope that all makes sense.
so far I have:
y = vt or t = y/v
t = 400 / v*sin(a)
x = vt
75 = [0.5 - cos(a)] * t
then I plugged in t
75 = 200/[v*sin(a)] - [400*v*cos(a)]/[v*sin(a)]
I can't seem to solve this. Am I doing this the right way?
I was thinking I need another function and I remember having to use
sin(a)^2 + cos(b)^2 = 1
for something like this a while back. And if I do, how do I? Do I just solve the first two equations for sin and cos and then plug the equations into the third, expand them, then solve another for t and then plug it in and simplify?
any help would be greatly appreciated.