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Trigonometry - Calculating Angles from Ratio Decimals and Trig Identities (Level 1)

This math topic focuses on calculating angles from given ratios described in decimal form using trigonometric identities within a trigonometry fundamentals introduction. It involves interpreting trigonometric ratios (such as adjacent over hypotenuse or opposite over hypotenuse) to determine the corresponding angle values in degrees. Each problem presents a ratio and multiple-choice answers, requiring an understanding of trigonometric functions to identify the correct angle that corresponds to the specified ratio.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Calculating Angles from Ratio Decimals and Trig Identities

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What angle (in degrees) has this ratio of sides?

oppadj=2.904\frac{opp}{adj} = 2.904