# BEARING WORD PROBLEMS WORKSHEET

Problem 1 :

Two ships leave a harbor at the same time. One ship travels on a bearing of S12°W at 14 miles per hour. The other ship travels on a bearing of N75°E at 10 miles per hour. How far apart will the ships be after three hours? Round to the nearest tenth of a mile.

Solution

Problem 2 :

A plane leaves airport A and travels 580 miles to airport B on a bearing of N34°E. The plane later leaves airport B and travels to airport C 400 miles away on a bearing of S74°E. Find the distance from airport A to airport C to the nearest tenth of a mile.

Solution

Problem 3 :

You are on a fishing boat that leaves its pier and heads east. After traveling for 25 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S40°W for 13.5 miles.

a. At this time, how far are you from the boat’s pier? Round to the nearest tenth of a mile.

b. What bearing could the boat have originally taken to arrive at this spot?

Solution

Problem 4 :

You are on a fishing boat that leaves its pier and heads east. After traveling for 30 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S45°W for 12 miles.

a. At this time, how far are you from the boat’s pier? Round to the nearest tenth of a mile.

b. What bearing could the boat have originally taken to arrive at this spot?

Solution

Problem 5 :

Two airplanes leave an airport at the same time on different runways. One flies on a bearing of N66°W at 325 miles per hour. The other airplane flies on a bearing of S26°W at 300 miles per hour. How far apart will the airplanes be after two hours?

Solution

1)  So, the distance between two ships after 3 hours is 61.68 approximately 62 miles.

2)  Distance between airport A to C is 800 miles approximately.

3)

At this time, i am 19.3 miles away from the boat’s pier.

b)  To boat should take N40°W to reach the spot.

4) a)  From boat pier, i will be there are 23.13 miles distance.

b)  = 111.6

5)  After two hours, the planes are approximately 869 miles apart.

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