Answer:
BY = 7.07 cm (rounded to 2 decimal places)
Step-by-step explanation:
Δ ABY is a right triangle, which Angle A being the right angle.
With respect to the angle given (45 degrees), the side AY is "opposite" and the side BY is "hypotenuse".
Note: The side opposite to the right angle is called the hypotenuse
Which trig ratio relates opposite to hypotenuse (as a ratio)??
Is it SINE!
Now we can write the ratio and solve for BY:
[tex]Sin(45)=\frac{AY}{BY}\\Sin(45)=\frac{5}{BY}\\BY=\frac{5}{Sin(45)}\\BY=7.07[/tex]
Hence,
BY = 7.07 cm (rounded to 2 decimal places)
