Make a sketch of triangle SAB where S is the position of the ship
So I get angle A = 41.5° and angle B = 36°, leaving angle S = 102.5°
You want SA
by the sine law:
SA/sin36 = 15/sin102.5°
SA = 15sin36/sin102.5 = ....
a ship at sea sighted at two lighthouses. A and B on shore. The lighthouse are 15 miles apart. the measure of the angle at A is 41.5 degree. the angle at B is 36 degree towards the ship. find the distance to the nearest tenth of a mile from A to the ship.
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