@Directrix Now I have to find x and y I'll draw you the triangle

Question

directrix · Answer

Okay, @Mel-O

anonymous · Answer

attachment

directrix · Answer

@Mel-O  This is the 30-60-90 theorem again. I really want you to see what you can do. 
Okay, think of the theorem in this way: the hypotenuse is double the 30-leg.
Then, the 60-leg is srt(3) * 30-leg.
In working one of these problems, try to get the 30-leg first, if possible. That is because you can then double it to get the hypotenuse and srt(3) it to get the 60-leg. When you get all 3 lenths, the hypotenuse will be the largest, then the 60-leg, and then the 30-leg. That is because in a triangle, the longest side is opposite the largest angle and on down to the shortest side being opposite the smallest angle.

directrix · Answer

@Mel-O  In your problem, first write the angle measures on the diagram so that you can easily find the 30-leg.

directrix · Answer

What did you get for the 30-leg @Mel-O

anonymous · Answer

@Directrix sorry I had to leave

directrix · Answer

What did you get for the 30-leg @Mel-O

anonymous · Answer

so you take 60 times square root of 3

directrix · Answer

No. I think there's a problem in knowing which leg is which. The 30-leg is the SEGMENT opposite the 30-degree ANGLE. The 30-leg does not help form the 30 degree angle. It is opposite the angle. Check out the attachment and try again to get the 30-leg length.

anonymous · Answer

yeah to get the 30 you times by square root of 3

directrix · Answer

@Mel-O  Nope. To get the length of the 60-leg, you multiply the length of the 30-leg by sqr(3). But in this problem, you do not yet know the 30-leg length.

You have to learn the part of the theorem that says the hypotenuse is twice the 30-leg length. So, if the hypotenuse is 14, half of that is the length of the 30-leg. So, what would the 30-leg length be?

anonymous · Answer

so half of 14 is 7...

anonymous · Answer

half of 30 is 15

directrix · Answer

@Mel-O  You need to practice on some basic 30-60-90 theorem problems. The leg lengths and angle lengths have confused you. See the attachment.

The 30-leg has length 7. The 60-leg has length 7 times square root of 3.

anonymous · Answer

@Directrix I know my student teacher didn't have time to teach us this

directrix · Answer

@Mel-O  What was the student teacher doing in class?

anonymous · Answer

@Directrix Well she gave our class extra homework and someone asked how to do it. We went over questions then she spent the rest of the hour trying to figure out a problem and she couldn't.