A boat heading out to sea starts out at Point AA, at a horizontal distance of 1292 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ}


. At some later time, the crew measures the angle of elevation from point BB to be 6^{\circ}


. Find the distance from point AA to point BB

Respuesta :

The distance from point A to point B is 1320.9 feet

What is trigonometric ratio?

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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