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Chapter 8: Q. 64 (page 517)

A ship leaves the port of Miami with a bearing of S80°E and a speed of 15 knots. After 1 hour, the ship turns 90° toward the south. After 2 hours, maintaining the same speed, what is the bearing to the ship from port?

Short Answer

Expert verified

Thus the bearing from the port to the ship is about S 16.56°E.

Step by step solution

01

Given Information

Given that a ship leaves the port of Miami with a bearing of S80°E and a speed of 15 knots. After 1 hour, the ship turns 90° toward the south. After 2 hours, maintaining the same speed.

02

Solution

We’ll draw the line from Miami (Point A) to the ship’s location(Point C) and use the angle Y°of that line to find the bearing as in this figure: -

In △ABC

tan(x°)=BCABtan(x°)=3015tan(x°)=2x°=tan-1(2)x≈63.43°

Now angle Y°is =80°-63.43°

Y°=16.56°

03

Final answer

Thus the bearing from the port to the ship is about S 16.56°E.

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