Answer
47°
Work Step by Step
distance between tower and fire = d
d= 200 ft $\times$ tan (90°-12°)
d= 940.93 ft
tan (90° - α ) $\times$ 1000 ft = d
tan (90° -α ) = $\frac{940,93 ft}{1000 ft}$
tan (90°-α ) = 0.94
(90°-α) $\approx$ 43°
α= 90° -43°$\approx$ 47°