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JAMB - Mathematics (1984 - No. 37)

Using \(\bigtriangleup\)XYZ in the figure, find XYZ

29o
31o
31o 20'
31o 18'

설명

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

sin 120o = sin 60o

5 sin y = 3 sin 60o

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

\(\frac{3 \times 0.866}{5}\)

= \(\frac{2.598}{5}\)

y = sin-1 0.5196 = 30o 18'

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