00:01
In this problem, you were given triangle a, b, c, where c is the right angle.
00:09
You're also told that the measure of angle a is 5 degrees, side c is 12, and you're asked to find all the missing parts of the triangle.
00:20
So the first thing we're going to do is find out what angle b is.
00:25
All right, so we want to find out what angle b is.
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All of the angles of a triangle add up to 180.
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So to find out the measure of angle b, you'll start out with a triangle, subtract out 90 degrees from the right angle, and subtract out the five degrees.
00:46
So the measure of angle b is going to equal 85 degrees.
00:58
All right, to find out what the missing sides are, we're going to use sokatoa, if that's, which means sign is equal to the opposite leg over the hypothesis.
01:11
Then the second part, cosine is equal to the adjacent leg over the hypotenuse.
01:23
And then the last part that we could possibly use is tangent.
01:29
Whoops, let me fix that.
01:38
Right? and tangent would be the opposite leg over the adjacent leg.
01:43
So let's use the five, since that was the given angle, it's always best practice to use the given angle.
01:50
So we're going to label the sides as o, a, and h for opposite, adjacent, and hypotenuse.
01:59
So using the 5, the a would be the opposite side.
02:06
The b is the adjacent side, and the hypotenuse is always the side opposite the right angle or the longest side.
02:19
All right, so let's start with looking at angle a, or side a, i'm sorry, side a...