Question

Find the value of each variable. If your answer is NOT an integer, leave it in simplest radical form. Show work to get medal! :D My Textbook has work shown for these types of problems.

Answer 1

@e.mccormick

Answer 2

you can use your trigonometry here
SOH CAH TOA
\(sin\ \theta=\frac{opposite}{adjacent}\ \cos\ \theta=\frac{adjacent}{hypotenuse}\ \tan \theta=\frac{opposite}{adjacent}\)

Answer 3

this is a 30, 60, 90 Special Right Triangle @Data_LG2

Answer 4

okay, then use the formula
\(SL=1/2H\\LL=\frac{\sqrt{3}}{2}H\\LL=SL \sqrt{3}\)
where SL=short leg, LL=long leg, H=hypotenuse