a ship passes by buoy b which is known to be 3000 yd from peninsula p. the ship is steaming east along line be and angle pbe is measured as 28 degrees. after 10 min., the ship is at s and angle pse is measured as 63 degrees. how far from the peninsula is the ship when it is at s?

Question

a ship passes by buoy b which is known to be 3000 yd from peninsula p. the ship is steaming east along line be and angle pbe is measured as 28 degrees.  after 10 min., the ship is at s and angle pse is measured as 63 degrees.  how far from the peninsula is the ship when it is at s?

Steve · Answer

From the info, we can see that angle bsp is 117°. Now, using the law of sines, 3000/sin 117° = sp/sin 28° sp = 1580 yd