Math Problem Statement
Solution
To solve for in the right triangle, we can use trigonometric ratios. Specifically, we know:
- (the adjacent side to angle ),
- (the opposite side to angle ).
Since we have both the opposite and adjacent sides, we use the tangent function:
Now, we calculate :
Using a calculator:
So, , rounded to the nearest tenth of a degree.
Would you like further details or have any questions?
Related Questions:
- How do we find an angle using sine or cosine in a right triangle?
- Can we solve for the other angles in this triangle?
- How can the Pythagorean theorem help in this problem?
- What is the sine of angle in this triangle?
- How can I use a calculator to find the inverse tangent function?
Tip:
Always ensure your calculator is set to degrees (not radians) when solving for angles in degrees!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right Triangles
Inverse Tangent Function
Formulas
tan(x) = opposite / adjacent
x = tan^{-1}(opposite / adjacent)
Theorems
Trigonometric Ratios
Suitable Grade Level
Grades 9-12
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