Answer:
y = 6.7 cm
Step-by-step explanation:
y can be calculated as follows:
Law of Sines
The law of sines states that in any triangle the ratio of each side to the sine of the opposite angle is the same
The missing angle in the figure
= 180° - (58° + 73°)
= 49°
Using the law of sines:
[tex]\dfrac{y}{\sin 58} = \dfrac{6}{\sin 73}\\\\[/tex]
Multiply both sides by sin 58:
[tex]y = \dfrac{6}{\sin 73}\sin 58[/tex]
[tex]y = 6.742\;cm\\\\y = 6.7 \;cm\text{ correct to 1 d.p}[/tex]
For drawing the triangle, use an online tool like Desmos or Geogebra. Or if doing manually use a protractor and ruler
