00:01
This problem gives us a triangle a, b, which is a right triangle, and we're given angle b and the side opposite of angle b, and we want to determine the length of segment a, b.
00:09
So to do that, we'll figure out, since this is the right triangle, what information we do have so that we could use the angle that we're given immediately.
00:17
And from angle b, we have the side that is opposite of that angle, and the segment that we want is the length of a, b, and the length across, or the side across from the right angle is always the hypotenuse.
00:30
We want to use a trig function that is something that uses the opposite and the hypotenuse and that would be sign.
00:38
Sign of an angle is equal to the opposites over a hypotenuse ratio.
00:43
So we can set up an equation here we can solve because we know our angle is 61 degrees.
00:48
So sign of 61 degrees equals the opposite length 47 over the hypotenuse length that we want, which is h...