00:01
I've kind of sketched a picture to illustrate this problem, similar to the picture that you're seeing.
00:04
So this friendly guy, joe, is holding a kite.
00:07
He's flying a kite.
00:08
It's a windy day.
00:09
And he's holding this kite string three feet off the ground, as you can see here.
00:14
And the distance between his hand and a point directly under the kite, so right over here is 95 feet.
00:22
And the angle of elevation, or the angle from the horizontal up to where the kite is, is 50 degrees.
00:27
And i am tasked with finding what is the height? of this kite off of the ground.
00:33
So this is a right triangle trigonometry question because i have a right triangle here.
00:38
So the first thing i have to determine is which of the three trigonometry functions, sign, cosine, or tangent, am i going to use? so since this is the angle that i'm given, i'm going to go ahead and label the sides of this right triangle right here as opposite, adjacent, and hypotenuse.
00:55
So since this side over here is the one i'm trying to find, and this side right here, is the one i know, 95 feet, i'm going to be using tangent because tangent of some angle is equal to the opposite side divided by the adjacent side.
01:12
So let me go ahead and start this problem.
01:14
Tangent of this angle, which is 50 degrees, equals the opposite side...