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question

Two hikers start from base camp P. Hiker X walks 6 km on a bearing of 000° (North) to point A. Hiker Y walks 8 km on a bearing of 090° (East) to point B. (a) Find the actual distance between A and B. (b) Find the map distance between A and B on a map drawn to a scale of 1 cm : 2 km.

Two hikers start from base camp P. Hiker X walks 6 km on a bearing…
question

The bearing of a lighthouse L from a boat B is 312°. Find the bearing of the boat B from the lighthouse L.

The bearing of a lighthouse L from a boat B is 312°. Find the bearing…
question

An airplane flies 300 km due East from airport A to airport B, and then 400 km due South from airport B to airport C. Calculate the direct actual distance from airport A to airport C.

An airplane flies 300 km due East from airport A to airport B, and then…
question

In a town map, airport A is at the origin. Airport B is 300 km due East of A, and airport C is 300 km due South of B. Find the three-figure bearing of airport C from airport A.

In a town map, airport A is at the origin. Airport B is 300 km…
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A road of length 4.5 km is represented by a line segment of 9 cm on a map. Express the scale of the map in the ratio form 1 : n.

A road of length 4.5 km is represented by a line segment of 9 cm…
question

On a map drawn to a scale of 1 cm to 8 m, the length of a rectangular sports ground is 12 cm and its breadth is 7.5 cm. Find the actual perimeter of the ground in meters.

On a map drawn to a scale of 1 cm to 8 m, the length…
question

A ship sails 10 km from port P to point Q on a bearing of 050°. It then turns and sails to point R on a bearing of 140°. Find the measure of angle PQR.

A ship sails 10 km from port P to point Q on a bearing of…
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The scale of a map is 1 : 25,000. If the actual distance between two places is 5 km, find the distance between them on the map in centimeters.

The scale of a map is 1 : 25,000. If the actual distance between two…
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question

Convert the compass bearing S 40° W into a 3-figure bearing.

Convert the compass bearing S 40° W into a 3-figure bearing.
question

If the bearing of point B from point A is 065°, find the bearing of point A from point B.

If the bearing of point B from point A is 065°, find the bearing of…
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