The distance from point A to point B is 1320.9 feet
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the light house, hence:
tan(12) = h/1292
h = 274.6 feet
Let d represent the distance from point B to the feet of the light house, hence:
tan(6) = 274.6/d
d = 2612.9 feet
The distance from point A to point B = 2612.9 feet - 1292 = 1320.9 feet
The distance from point A to point B is 1320.9 feet
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