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3.12 Various applications

Interactive practice questions

Lucy travelled on a bearing of $39^\circ$39° from point A to point B. She then travelled on a bearing of $159^\circ$159° for $17$17 km to point C which is east of point A.

a

Find the size of the angle $\angle CAB$CAB.

b

Find the size of the angle $\angle ABC$ABC

c

Solve for $x$x, the distance Lucy would have to travel due east to return to point A.

Give your answer to two decimal places.

Easy
5min

Point C has a bearing of $142$142° from Point A. If Point B is $19$19 kilometres West of Point A, what is the distance, $x$x, between Point B and Point C?

Easy
3min
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Outcomes

MS2-12-3

interprets the results of measurements and calculations and makes judgements about their reasonableness, including the degree of accuracy and the conversion of units where appropriate

MS2-12-4

analyses two-dimensional and three-dimensional models to solve practical problems

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