SohCahToa couldn't figure it out without the angle θ

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NeedHelp12
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Homework Statement


Right triangle force diagram with hypotenuse labelled F, vertical side labelled Fy, horizontal base labelled Fx, a right-angle square at the bottom right, and angle θ at the bottom left vertex. Below it is Problem 3 with the given components 34 N and 49 N.



Homework Equations


Sin θ = Opp/Hyp
Cos θ = Adj/Hyp


The Attempt at a Solution


I tried to reverse it, but I couldn't figure it out without the angle θ
 
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Discussion



NeedHelp12 said:
I need help solving...

What frogjg said. The Pythagorean Theorem says that when you have a right angled triangle like the one in your picture. The length of the longest side squared is equaled to the sum of the squares of the shorter sides.

Mathematically, (if "a" is the hypotenuse and "b" and c" are the shorter sides)

a2 = b2 + c2

Should be pretty straight forward from here on.

First figure out what is your "a" ,"b" and c".

If you don't understand the theorem, this video might be useful: http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/pythagorean-theorem
 
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