SohCahToa couldn't figure it out without the angle θ

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Homework Help Overview

The discussion revolves around a problem involving trigonometric functions and the Pythagorean Theorem in the context of right-angled triangles. The original poster expresses difficulty in solving the problem without knowing the angle θ.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore the relationship between trigonometric ratios and the Pythagorean Theorem. Some question how to proceed without the angle, while others suggest considering the Pythagorean Theorem as a potential approach.

Discussion Status

The discussion is ongoing, with participants offering different perspectives on how to approach the problem. Some guidance has been provided regarding the Pythagorean Theorem, but there is no explicit consensus on how to resolve the original poster's issue.

Contextual Notes

There appears to be a lack of clarity regarding the specific values or dimensions of the triangle involved, which may be impacting the ability to apply the discussed concepts effectively.

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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
 
Last edited:

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