The height of the mountain is 11650 ft.
At the angle of 28 degree apply the tangent law
tan28=[tex] \frac{h}{x} [/tex] Eq.1
At the angle of 30 degree apply the tangent law
tan30=[tex] \frac{h}{(x-1000)} [/tex] Eq. (2)
On solving eq. (1) and Eq. (2)
The height of the mountain is h=11650 ft.