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Chapter 8: Q. 36 (page 554)

Finding the Bearing of a Ship The Majesty leaves the Port at Boston for Bermuda with a bearing of 厂80掳贰 at an average speed of 10 knots. After 1 hour, the ship turns 90掳 toward the southwest. After 2 hours at an average speed of 20 knots, what is the bearing of the ship from Boston?

Short Answer

Expert verified

The bearing of the ship from Boston is4.04掳.

Step by step solution

01

Step 1. Given Information

The average speed of majesty is 10knots. After 1hour, the ship turns toward the southwest by 90掳. We have to find the bearing of the ship from Boston after 2 hours at an average speed of20knots.

02

Step 2. Sketch the rough figure

The rough figure is

As the average speed is 10knotsso in km per hour it will be 18.52.

After 2hours at an average speed of 20 knots so in km per hour it will be37.04脳2=74.08.

03

Step 3. Finding the bearing of the ship from Boston

From the rough figure, we get right traingle 鈭�XYZ, XY=18.52km,YZ=74.08km,and鈭�X=鈭�YXS-鈭�YXZ鈭�X=80掳-胃

By using the trigonometric ratio for right triangle

tanX=YZXYtan80掳-胃=74.0818.52tan80掳-胃=480掳-胃=tan-14胃=80掳-tan-14胃鈮�80掳-75.96掳胃鈮�4.04掳

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Most popular questions from this chapter

In attempting to fly from Chicago to Louisville, a distance of a 330miles, a pilot inadvertently took a course that was 10掳in error, as indicated in the figure.

(a) If the aircraft maintains an average speed of 220miles per hour and if the error in direction is discovered after 15minutes, through what angle should the pilot turn to head toward Louisville?

(b) What new average speed should the pilot maintain so that the total time of the the trip is 90minutes?

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