Question

Find the value of each variable. If your answer is not an integer, express it in simplest radical form

**check answer**

Answer 1

Um... missing something?

Answer 2

should we get popcorn while you type in the variables?

Answer 3

yall patience is a virtue

Answer 4

SOH CAH TOA

Answer 5

sounds like the tune of a hawaiian song, but that's all you need
http://www.mathwarehouse.com/trigonometry/images/sohcohtoa/sohcahtoa-all.png

Answer 6

hmmm well, I see, you're using the 30-60-90 rule

Answer 7

well, hmm, still the 30-60-90 rule wouldn't end up using the sine function anyhow
I mean you're given an angle's value, 30 degrees
so I gather you're expected to use sine and cosine for that

Answer 8

otherwise, your answer will be in terms of "x" and "y"

Answer 9

hmm maybe not ...

Answer 10

in a 30-60-90 rule the smallest side, will half the longest
that is "x" the smallest, is half 40 the longest

and the OTHER side, is \(\bf \sqrt{3} \times \text{smallest side}\)

Answer 11

45-45-90 assumes you have 2 angles of 45 degrees
you have there one of 30, and is a right triangle, so you have another of 90 and lastly one of 60

Answer 12

but yes, for the 45-45-90 rule, 2 sides are equal and the longest is \(\bf \sqrt{2}\) of either side

Answer 13

well, for that you'd need to use the \(\bf \sqrt{3}\) ratio for the longer side

Answer 14

http://upload.wikimedia.org/wikipedia/commons/4/45/30-60-90_triangle.jpg

Answer 15

those are the ratio relationships on a triangle with 30-60-90 angles
if I were to stand up yours, it'd look like