is there a way to find other angles of a triangle given the sides, and a 90 degree angle

Question

hypotenuse: 4644 running left to right

leg 1: 3610.104 running top to bottom

leg 2: 2921.281 running left to right

Answer 1

You can use trigonometric functions. sinθ = opposite

                                                                      hypotenuse

 

We will assume that leg 1 is opposite Θ.

 

sinΘ = 3610.104 = .777369509

              4644

 

Θ = sin^-1 (.777369509)   using a graphing calculator

θ ≈ 51°  

 

Then, the third angle = 90-51 = 39°