Here are the essential concepts you must grasp in order to answer the question correctly.
Right Triangle Properties
A right triangle has one angle measuring 90 degrees. The sides opposite the angles are referred to as the opposite side, adjacent side, and hypotenuse. The relationships between these sides are fundamental in trigonometry, allowing for the application of the Pythagorean theorem and trigonometric ratios (sine, cosine, and tangent) to solve for unknown lengths and angles.
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Trigonometric Ratios
Trigonometric ratios relate the angles of a triangle to the lengths of its sides. For a right triangle, sine (sin), cosine (cos), and tangent (tan) are defined as follows: sin(A) = opposite/hypotenuse, cos(A) = adjacent/hypotenuse, and tan(A) = opposite/adjacent. These ratios are essential for calculating unknown side lengths and angles when given certain triangle parameters.
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Angle Measurement and Rounding
In trigonometry, angles are typically measured in degrees or radians. When solving problems, it is often necessary to round the results to a specified degree of precision. In this case, angles should be expressed to the nearest tenth of a degree, which involves understanding how to round decimal values correctly to ensure accuracy in the final answer.
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