00:01
Okay, so for this problem, there's two parts.
00:02
So the first part is talking about we have a lighthouse that's 200 feet tall, a person standing up here looking out at a ship in the water.
00:17
And then the question is, is how far is the ship from the lighthouse? so that's what we're looking for.
00:23
Now it also tells us there's an angle of depression of 32 degrees.
00:28
So if the person is standing up here, looking straight, to cross and then down that right there is your angle of depression of 32 degrees so since this is making a 90 degree angle if i do 90 minus 32 that gives me 50 so the angle inside the triangle is 58 now you can set up a trig function to solve for x so looking from this angle from 58 x is opposite and 200 is adjacent.
01:12
So o over a or opposite over adjacent is the tangent function.
01:17
So we're going to set up tan 58 equals x over 200.
01:27
Then you're just going to plug into your calculator, tan 58.
01:31
That's 1 .6.
01:36
And then do 1 .6 times 200 is 320 feet.
01:43
So this x right here is 320.
01:47
All right, and then the other question was trying to look at two buildings, so taller building, shorter building, find the heights given this information.
02:02
So we're going to use trig again.
02:04
So if i start with this bottom triangle, that's a right angle.
02:10
From this angle, i'm looking for opposite, and again, i have adjacent...