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meerkat18
For a right triangle, the sine of an angle is the ratio of the length of the side opposite to it and the hypotenuse and the its cosine is the ratio between the side adjacent to it and the hypotenuse. From the given choices, the angle being referred to is letter B. 45°.
carlosego
For this case we have the following definitions:
 [tex]cosx= \frac{C.A}{h} [/tex]
 [tex]sinx= \frac{C.O}{h} [/tex]
 Where,
 x: angle
 C.O: opposite leg
 C.A: adjacent leg
 h: hypotenuse
 Since the hypotenuse is constant, then the angle for which the legs are equal is 45 degrees.
 We have then:
 [tex]sin45=cos45= \frac{\sqrt{2}}{2} [/tex]
 Answer:
 B. 45º

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