00:01
A right triangle has a hypotenuse of length 115 millimeters.
00:09
And if angle a is 31 .2 degrees, what are the measurements of side a, side b, and i'll call it angle b? well, let's refer to your right triangle trig ratio, sine, cosine, and tangent.
00:28
And from the 31 .2 degrees, we have the hypotenuse.
00:32
A is the opposite, b, is the adjacent.
00:36
We can find angle b by subtracting from 90, 90 minus 31 .2 degrees is 58 .8 degrees.
00:51
And then we can find side a and side b using our right triangle trig.
00:57
So let's say we want to find side a that's opposite in hypotenuse.
01:00
That's sign.
01:01
So we can say the sign of 31 .2 degrees is equal to opposite, which is a over the three.
01:07
The hypotenuse 115.
01:09
So multiply 115 to both sides and we were solved for 115 sign 31 .2.
01:16
You do need to be in degree mode though.
01:20
And so we get 59 .57.
01:25
I'll say 59 .6 to the nearest 10th and that would be in millimeters.
01:32
And side b would be the cosine since that's the adjacent and the hypodys would say the cosine of 31 .2 degrees is equal to adjacent over hypotenuse, multiply both sides by 115...