Trigonometry - example

Assignment. Determine , and calculate the area of the triangle below.
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Solution. The hypotenuse can be obtained by using sine: To obtain the missing leg (let us denote it ), we use Pythagoras' theorem. For simplicity, we drop the measurement units in the equation: Finally, we calculate the area of the triangle: Answers: the hypotenuse is , and the area of the triangle is .