Could I find the two missing angle measures if I know some of the side lengths of a right triangle?

My answer is: 3. Use the Pythagorean Theorem to find the lengths of the triangle and apply those answers to the Law of Sines. Two lengths need to be known.

i need help creating an example.
@tomo

Question

Could I find the two missing angle measures if I know some of the side lengths of a right triangle?

My answer is: 3.	Use the Pythagorean Theorem to find the lengths of the triangle and apply those answers to the Law of Sines. Two lengths need to be known.

i need help creating an example. 
@tomo

anonymous · Answer

@Mertsj

jim_thompson5910 · Answer

you could also use the trig functions sine, cosine, tangent etc

anonymous · Answer

I think what theyre looking for is like give an example using a right trianglee

jim_thompson5910 · Answer

for example, if you know the opposite and adjacent legs (and let's say they are 3 and 4), then you can say

tan(x) = opp/adj

tan(x) = 3/4

x = arctan(3/4)

x = 36.8698976 degrees

anonymous · Answer

|dw:1366857209986:dw|
that right?

jim_thompson5910 · Answer

yes, so if you wanted to know this angle here

|dw:1366857316432:dw|

then you would solve tan(x) = 3/4 for x

jim_thompson5910 · Answer

x is not a side length in my pic , it's an angle

anonymous · Answer

makes sense :)

jim_thompson5910 · Answer

that's great, glad it does