For an acute angle in a right triangle,

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

For an acute angle θ\theta in a right triangle, cos⁡θ=513\cos\theta = \dfrac{5}{13}. Which of the following could be the lengths of the side adjacent to θ\theta and the hypotenuse? (a) Adjacent = 12 cm12\,\text{cm}, Hypotenuse = 13 cm13\,\text{cm} (b) Adjacent = 5 cm5\,\text{cm}, Hypotenuse = 13 cm13\,\text{cm} (c) Adjacent = 5 cm5\,\text{cm}, Hypotenuse = 12 cm12\,\text{cm} (d) Adjacent = 10 cm10\,\text{cm}, Hypotenuse = 15 cm15\,\text{cm}

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