Boundary of a wildlife reserve

Boundary of a wildlife reserve

Secondary 3
5 marks
Original parallel to supplied E Math applications of trigonometry references

The boundary of a wildlife reserve is quadrilateral \(KLMN\).

\(KL=6.1\text{ km}\), \(LM=8.4\text{ km}\), \(MN=7.5\text{ km}\), \(\angle LMN=68^\circ\) and \(\angle KNL=36^\circ\).

The angle \(\angle LKN\) is acute. Give non-exact numerical answers correct to \(3\) significant figures.

  1. Find diagonal \(LN\).[3]
  2. Find \(\angle LKN\).[2]

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Answer:(a) \(8.92\text{ km}\) (b) \(59.3^\circ\)

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