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Chapter 8: Q. 64 (page 517)

A ship leaves the port of Miami with a bearing of S80掳E and a speed of 15 knots. After 1 hour, the ship turns 90掳 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掳E.

Step by step solution

01

Given Information

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

02

Solution

We鈥檒l draw the line from Miami (Point A) to the ship鈥檚 location(Point C) and use the angle Y掳of that line to find the bearing as in this figure: -

In 鈻�ABC

tan(x掳)=BCABtan(x掳)=3015tan(x掳)=2x掳=tan-1(2)x鈮�63.43掳

Now angle Y掳is =80掳-63.43掳

Y掳=16.56掳

03

Final answer

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

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