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Choose the correct answer. The ratio of the length of the leg opposite an acute angle to the length of the...

12. Choose the correct answer.
The ratio of the length of the leg opposite an acute angle to the length of the hypotenuse called the ____ of a right triangle.
- sine
- cosine
- tangent
13. Select all that apply.
Find the lengths of the sides of a right triangle when cos B = 0.75.
- 4
- 7
- √5
- 3

Answer

  1. sine

  2. To find the lengths of the sides of a right triangle when cos B = 0.75, we use the cosine definition: cos B = adjacent/hypotenuse. If we assume the hypotenuse is 1, then the adjacent side is 0.75. Using the Pythagorean theorem, the opposite side is √(1^2 - 0.75^2) = √0.4375 ≈ 0.661. None of the given options match these values directly, so none apply.

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