Math Problem Statement
Using the sine rule, calculate the length x. Give your answer to 1 d.p.
Solution
To solve for using the sine rule, we can follow these steps:
Given:
- Angle opposite :
- Side opposite :
Sine Rule:
Now, we can solve for :
Let's calculate that.The length of is approximately , rounded to 1 decimal place.
Would you like more details or have any questions?
Here are five related questions to consider:
- How is the sine rule applied in different triangle types?
- What other methods could solve for in this triangle?
- How does the sine rule differ from the cosine rule?
- Can the sine rule be used for right-angled triangles?
- How do you determine when to use the sine rule vs. other trigonometric formulas?
Tip: When using trigonometric rules, ensure your calculator is set to degrees if the angles are provided in degrees!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Sine Rule
Formulas
x = (b * sin(A)) / sin(B)
where A is an angle and b is the length of the side opposite B
Theorems
Law of Sines
Suitable Grade Level
High School