Answer:
x = 10.6, y = 39.6
Step-by-step explanation:
Given that,
Angle A = 75°
Angle B = 90°
Angle C = 180-(A+B)
= 15°
Now, using trigonometry,
[tex]\sin C=\dfrac{x}{41}\\\\x=41\times \sin C\\\\=41\times \sin(15)\\\\x=10.6[/tex]
For y, using Pythagoras theorem,
[tex]y=\sqrt{41^2-10.6^2} \\\\y=39.6[/tex]
Hence, the value of x is equal to 10.6 and that of y is equal to 39.6.
