Distance projectile traveled Q

[Jesse90]

I'm trying to polish up on my math and I'm struggling with re-arranging the following equation to solve for Theta

d=u^2sin2(-) over g

Where:
d = 30m
u = 20m/s/s
g = 9.8m/s/s

I have no idea why there is a sin in there, or that 2, and how I'm suppose to work with those in re-arranging for Theta.

 

[Dr.Peterson]

For your purposes you don't need to know why the formula is what it is (though we could discuss that if you want).

The key idea in solving will be to use the inverse sine (arcsine) function. Do you recall anything about that? If not, do you have a textbook or other source to review the topic from?

The formula is [MATH]d=\frac{u^2\sin(2\theta)}{g}[/MATH]; you can type it as u^2 sin(2θ)/g.

In solving, you will first isolate sin(2θ), then take the inverse sine of both sides.