SohCahToa couldn't figure it out without the angle θ

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The discussion revolves around solving a problem involving trigonometric functions and the Pythagorean Theorem. The user expresses difficulty in finding a solution without knowing the angle θ. A response clarifies that the Pythagorean Theorem can be applied to right-angled triangles, stating that the square of the hypotenuse equals the sum of the squares of the other two sides. The importance of identifying the sides of the triangle is emphasized for solving the problem. A resource link to a video on the Pythagorean Theorem is provided for further understanding.
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Homework Statement


c332480330de2a5af92e8c7dc5df8d2f.png



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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What about the Pythagorean Theorem?
 


I need help solving...
 


What is the Pythagorean Theorem?
 


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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