 Finally, we're going to look at a couple of slightly trickier problems. This time, we're going to be solving for theta, given some other constraint. Firstly, what angle should the dolphin jump to jump to a height of 1.1 meters? Well, assuming that the dolphin's initial velocity is still 5 meters per second, we can use the same equation for the max height that we worked out before. So y max is equal to viy squared on 2g. And we can relate the initial vertical velocity, viy, to the angle of launch from the velocity component triangle. So we know that viy is equal to vi times sine of theta. Rearranging for viy, and then swapping viy for vi times sine theta, we get, now we want to get theta on its own. We divide both sides by vi and take the inverse sine of both sides. Plugging in all values and calculating, we get 68.2 degrees to three significant figures.