Question

A camel travelled across a desert at a bearing of 106° from an oasis.

If the camel stopped 27 km east of the oasis, how far south of the oasis did it stop?
Give your answer to 1 d.p.

Answer 1

7.7 km

Explanation:

You want to know how far south of an oasis a camel is if it is located at a bearing of 106° and is 27 km east of that oasis.

Angle

The bearing angle can be converted to conventional angle measure by subtracting it from 90°

angle = 90° -106° = -16°

Distance

The relationship between the distances north and east is given by ...

Tan = Opposite/Adjacent = (north distance)/(east distance)

north distance = (east distance) · tan(angle)

north distance = (27 km) · tan(-16°) ≈ -7.7 km

The camel is 7.7 km south of the oasis.

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