Math Problem Statement
Find x. Round your answer to the nearest tenth of a degree.
Solution
To find the angle in the given right triangle, we can use the trigonometric function tangent, defined as:
Here, the side opposite to angle is 15, and the side adjacent to is 21. Therefore, we have:
To find , we take the arctangent (inverse tangent) of :
Let's calculate this:
So, when rounded to the nearest tenth of a degree.
Would you like a more detailed explanation or have any further questions?
Here are some related questions for further exploration:
- What is the sine of angle in this triangle?
- How would you find the hypotenuse using the Pythagorean theorem?
- Can you determine the other acute angle in the triangle?
- How would the calculation change if the sides were labeled differently?
- What other trigonometric functions can be used to find angle ?
Tip: Always double-check which sides are opposite and adjacent relative to the angle you are finding.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right Triangle
Formulas
tan(θ) = opposite / adjacent
arctan(value) = θ
Theorems
Trigonometric Ratios
Inverse Tangent
Suitable Grade Level
Grades 9-10