In the figure, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle < YZE = 150∘ ∘ . If the angle XYZ = θ θ , calculate the va...

Question 1 Report

In the figure, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle < YZE = 150 $^{\circ}$ . If the angle XYZ = $θ$ , calculate the value of sin $θ$

\frac{3}{5}

\frac{1}{2}

\frac{2}{5}

\frac{1}{5}

Answer Details

$\frac{5}{\sin 36^{o}} = \frac{2}{\sin θ} = \frac{5}{\frac{1}{2}} = \frac{2}{\sin θ}$

10 = $\frac{2}{\sin θ}$

sin $θ$ = $\frac{2}{10}$

= $\frac{1}{5}$

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