Answer:
The answer to your question is x = ![\frac{3\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Csqrt%7B2%7D%7D%7B2%7D)
Step-by-step explanation:
Data
right triangle
x = ?
hypotenuse = 3
To solve this problem use trigonometric functions. The trigonometric function that relates the opposite side and the hypotenuse is sine.
sin Ф = Opposite side / hypotenuse
-Solve for Opposite side (x)
x = hypotenuse sin 45
-Substitution
sin 45 = ![\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
x = 3![\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
-Solution
x =
It is not possible to simplify any more.