Answer:
[tex]180.49[/tex]
Step-by-step explanation:
SOH-CAH-TOA:
In right triangles only:
The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)
The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)
Since we're given an angle, its opposite side, and its adjacent side, we'll use tangent to solve for [tex]x[/tex]:
[tex]\tan 14^{\circ}=\frac{45}{x},\\x=\frac{45}{\tan 14^{\circ}},\\x\approx \boxed{180.49}[/tex].
