I will start off by defining the angle
[tex] \alpha = 90 - \beta [/tex]
as being the angle between altitude and the hypotenuse of the triangle.
[tex] \alpha = 90 - 30.1 = 59.9[/tex]
Using trigonometry, and the definition of the tan function defined by
[tex] \tan( \alpha ) = \frac{opp}{adj} = \frac{x}{1836.3} [/tex]
[tex] \tan( 59.9 ) = \frac{x}{1836.3} [/tex]
[tex]x = 1836.3 \times \tan(59.9) [/tex]
[tex]x = 3167.78[/tex]
Rounding to the nearest tenth
[tex]x = 3170[/tex]
