Describe the relationship between the lengths of YX and YW .
Answer:
[tex]\dfrac{YX}{YW}=\dfrac{\sin 61^{\circ}}{\sin 92^{\circ}}[/tex] or
[tex]\dfrac{YX}{YW}\approx 0.875.[/tex]
Step-by-step explanation:
For the triangle XYW use the sine rule:
[tex]\dfrac{YX}{\sin 61^{\circ}}=\dfrac{YW}{\sin 92^{\circ}}.[/tex]
Thus,
[tex]\dfrac{YX}{YW}=\dfrac{\sin 61^{\circ}}{\sin 92^{\circ}}.[/tex]
Approximately,
[tex]\dfrac{YX}{YW}\approx 0.875.[/tex]