Question

50 points What is the value of X in the triangle below? I need an explain and all work shown.

Answer 1

You can use the definition of sin to solve it.

sin(45 deg) = x/13

sin(45 deg) is known to be $\frac{\sqrt{2}}{2}$ so

$x = \frac{13\sqrt{2}}{2}$

Let me know if you have questions.

Answer 2

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.