00:01
Your question you're told that a rocket is launched from the ground at an angle of 0 .4 radians and the rocket travels in a straight path.
00:10
So this is the rocket path and in part a you're supposed to find the slope of this rocket.
00:21
Well the slope would be found by considering the ratio of the rise to the run of the rocket.
00:33
What this would represent, those two would meet at a right angle and the side across from the angle we call the opposite side, the rise would be the opposite, the run would be the adjacent, and the trig function that relates the opposite and adjacent side is tangent.
00:52
So the slope here would be simply the tangent of 0 .4 because tangent of an angle equals the opposite side over the adjacent or you could think of it as the rise over the run.
01:11
So tangent is your slope function.
01:13
So that's your exact answer and if you want an approximate you type that in your calculator making sure you're in radian mode.
01:21
The approximate answer would be 0 .4228 to four decimal places but they may be looking for the exact answer for that question.
01:35
In part b we're told if the rocket has traveled 465 feet horizontally, so that would be down here, we want to figure out the height above the ground.
01:51
So that's height is in the opposite position.
01:55
So again i'm going to set up the tangent function.
01:57
Tangent of 0 .4 is going to equal the opposite side which is our height over the adjacent side 465...