Math Problem Statement
answer using sine rule
Determine the value of x using the Sine Rule based on the triangle provided.
Solution
To solve for in the triangle using the Sine Rule:
The Sine Rule states:
From the diagram:
-
The given sides and angles are:
-
Let's apply the Sine Rule:
Rearrange to solve for :
Calculation:
-
Compute and :
-
Substitute into the formula:
Final Answer:
Let me know if you want a more detailed explanation or have further questions!
Related Questions:
- How does the Sine Rule compare to the Cosine Rule in solving triangles?
- What other scenarios can the Sine Rule be applied to?
- How do we calculate the third side of the triangle using the available information?
- How can you verify the answer using a different method?
- What are the implications of rounding sine values to fewer decimal places?
Tip:
Always double-check angle measurements in degrees versus radians when using trigonometric functions!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Trigonometry
Sine Rule
Formulas
Sine Rule: a/sin(A) = b/sin(B) = c/sin(C)
Theorems
Sine Rule
Suitable Grade Level
Grades 9-11