Question

Please HELP

if AY = 5cm what is the length of BY
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Answer 1

BY = 7.07 cm (rounded to 2 decimal places)

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:

`Sin(45)=(AY)/(BY)\\Sin(45)=(5)/(BY)\\BY=(5)/(Sin(45))\\BY=7.07`

Hence,

BY = 7.07 cm (rounded to 2 decimal places)