Using △ △ XYZ in the figure, find XYZ.

Assessment: JAMB UTME - Mathematics - 1984 Subject: General Mathematics

Question 1 Report

Using $△$ XYZ in the figure, find XYZ.

29

^{\circ}

31

^{\circ}

31

^{\circ}

20'

31

^{\circ}

18'

Answer Details

$\frac{\sin y}{3} = \frac{\sin 120^{o}}{5}$

sin 120 $^{\circ}$ = sin 60 $^{\circ}$

5 sin y = 3 sin 60 $^{\circ}$

sin y = $\frac{3 \sin 60^{o}}{5}$

$\frac{3 \times 0.866}{5}$

= $\frac{2.598}{5}$

y = sin-1 0.5196 = 30 $^{\circ}$ 18'

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