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ruppy123
The answer is C. Why? well, you should know SOH-CAH-TOA. IN THIS CASE YOU WILL USE SOH. SINE OVER HYPOTENUSE. THEN YOU SUBSTITUTE. SIN 45°= OPPOSITE/HYPOTENUSE. SIN45°=X/13 WHICH GIVES U CHOICE C.
remotecontrolbrain

You can use the definition of sin to solve it.

sin(45 deg) = x/13

sin(45 deg) is known to be [tex]\frac{\sqrt{2}}{2}[/tex] so

[tex]x = \frac{13\sqrt{2}}{2}[/tex]

Let me know if you have questions.